Each morning Soriano buys coffee and donut holes for his employees and clients. The following system represents the amount of coffee and donut holes bought this morning and the amount of money that he spent (in dollars). In the system, represents the number of cups of coffee that he bought and the number of cups of donut holes that he bought.

c+d=60

2.5+1.75=123.75

Part A: How many cups of coffee and donut holes did Soriano buy this morning?

Part B: How much does each cup of coffee cost?

Part C: How much does each cup of donut holes cost?

Part D: How much did Soriano spend in coffee and donut holes?

Part E: Use the elimination method to solve the system and determine the number of cups of coffee and donut holes that Soriano bought this morning.

Answers

Answer 1

Answer:

Part A: 60

Part B: Each cup of coffee costs 2.5 dollars

Part C: Each donut costs 1.75 dollars

Part D: Sonario spent 123.75 dollars in coffee and donut holes

Part E: The number of cups of coffee bought are 25 cups of coffee

The number of donut holes bought are 35 donut holes

Step-by-step explanation:

The given parameters are;

c + d = 60

2.5 × c + 1.75 × d = 123.75

Part A

Whereby the number of cups of coffee bought = c, and the number of donut holes bought = d, then, the total number of cups of coffee and donuts bought is c + d = 60

Part B:

From the second equation for the total cost of cups of coffee and holes of donuts, the coefficient multiplying the variable representing an item is the cost of the item

Therefore, each cup of coffee costs 2.5 dollars

Part C:

Using the method from above, each donut costs 1.75 dollars

Part D:

From the equation for the total cost, Sonario spent 123.75 dollars in coffee and donut holes

Part E:

By the elimination method, we have;

c + d = 60

∴ c = 60 - d

Eliminating c in the equation for the total cost gives;

2.5 × c + 1.75 × d = 2.5 × (60 - d) + 1.75 × d = 123.75

150 - 2.5·d + 1.75·d = 150 - 0.75·d = 123.75

150 - 123.75 = 0.75·d

26.25 = 0.75·d

d = 26.25/0.78 = 35

d = 35

c = 60 - d = 60 - 35 = 25

c = 25

∴ c = The number of cups of coffee bought = 25 cups of coffee

d = The number of donut holes bought = 35 donut holes


Related Questions

Write the word sentence as an equation. Then solve.

The product of 15 and a number x is −75.

Equation:

Solution: x=

Answers

Answer:

As an equation: 15 × x = -75

Solved: x = -5

Step-by-step explanation:

15*x = -75

[tex]\frac{15*x}{15}[/tex] = [tex]-\frac{75}{15}[/tex], Divide by 15 on both sides to solve for x

x=[tex]-\frac{75}{15}[/tex], The 15 in the numerator cancels out with the denominator

x= -5, because 75/15=5

Equation: (-5)(15) = -75

Solution : (x)(15) or (written as, x times 15 )= -75
For x= -5 ( substitute x into -5)
(-5)(15) or written as, negative 5 times 15= -75

please help me!!! It’s due Thursday

Answers

that should be the answers

Please help ASAP
Mark you as brainlister

Answers

you always want to remember a reflection over the y-axis results in the coordinates being changed to (-x,y)
an example would be (-5,4) then become (5,4)

Kevin rented a truck for one day. there was a base fee of $17.99, and there was an additional charge of 95 cents for each mile driven. Kevin had to pay $157.64 when he returned the truck. for how manny miles did he drive the truck?

Answers

Answer:

Step-by-step explanation:

Base fee = $17.99

Additional charge = $0.95 for each mile driven

If Kevin paid $157.64 when he returned the truck and we want to find out how many miles he drove the truck, step 1 would be to subtract the base fee.

157.65 - 17.99 = 139.65

This means that the remaining $139.65 is how much he paid for the miles he drove.

Since we know each mile costs $0.95.

Simply divide $139.65 by $0.95 to work out how many miles he drove.

Miles driven = 139.65 / 0.95 = ?

The ratio of boys to girls at a school is 12 to 13. If 300 students attend the school, how many are boys?
144
277
156
25

Answer: 144

Answers

Answer:

144

Step-by-step explanation:

300 divided by 13

For a certain race, 4 teams were allowed to enter 3 members each. A team earned 9 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 8. There were no ties, disqualifications, or withdrawals. If no team earned more than 10 points, what is the least possible score a team could have earned?

A) 0

B) 1

C) 2

D) 3

E) 4

Answers

Answer:

D. 3 Points

Step-by-step explanation:

Given

[tex]Members = 3[/tex]

[tex]Point = 9 - n[/tex]

[tex]1 \leq\ n \leq 8[/tex]

Required

Determine the least possible score

The least point a member of a team can get is when n = 8.

i.e.

[tex]Point = 9 - n[/tex]

[tex]Point = 9- 8[/tex]

[tex]Point = 1[/tex]

To get the least score, each of the 3 members must have 1 point each.

So:

[tex]Total = 3 * 1[/tex]

[tex]Total = 3[/tex]

True or False: In order to solve the equation below, you would add 6 to each side then
multiply by 8 on each side.
g/8- 6 = -12

Answers

I believe you would add 6 to both sides then divide by 8 instead of multiplying

If 247 players separated into 13 equal teams, how many players will be on each team?

Answers

247 divided by 13 = 19 so there will be 19 players on each team

(15) The ratio of boys to girls at the school is 3:5. If there are 160 students at 1 point the school, how many of them are girls? (Do not include any words in your answer.) Your answer​

Answers

Answer:

100

Step-by-step explanation:

160 * (5/8) = 100

What would be the fundraiser money kept if they sold 10 t-shirts?

Answers

How much did the t-shirts cost?

Samuel buys office supplies for his home business. The office supplies cost $175.79 before taxes. The sales tax rate is 8.25%. What is the amount of sales tax Samuel will pay?

Answers

Answer:

175.79* .0825 = 14.50 + 175.79 =  190.29 $190.25

Step-by-step explanation:

The amount of sales tax Samuel will pay is $14.50

Sales tax rate

Given the following information

cost of office supplies = $175.79 sales tax rate = 8.25%

Get the amount of sales tax:

Amount of sales tax = 8.25% of $175.79

Amount of sales tax = 0.0825 * 175.79

Amount of sales tax = $14.50

Hence the amount of sales tax Samuel will pay is $14.50

Learn more on sales tax here: https://brainly.com/question/9437038

On Monday morning Sergio Pappas had $14.78 in cash. During the week he earned $45.00 for cutting lawns and $35.75 for yard work, and he spent $25.23 on food and $22.12 on gas.

# Problem Solution
a. What were Sergio’s total earnings for the week?
b. What total amount did he have to spend during the week?
c. What was his balance at the end of the week?

Answers

Answer:

A- 95.53 $         B- 47.35 $     C- 48.18 $

Step-by-step explanation:

45.00+35.75=80.75 (The money Sergio Pappas earned by working.) 80.75+14.78=95.53 (Sergio Pappas money earned by working + initial money.)25.23+22.12=47.35 (Total money lost by Sergio Pappas.)95.53-47.35=48.18 (Total money left by Sergio Pappas over the weekend.)

I tried to explain and help as best I could. I hope you understand. Good luck!

Answer:

A- 95.53 $         B- 47.35 $     C- 48.18 $

Step-by-step explanation:

can someone help me pleaassee

Answers

Answer:

The slope is 1/4.

Step-by-step explanation:

M = Y2 - Y1

X2 - X1

M = 6 - 2

9 - (-7)

M = 4

16

M = 1

4

help Anita is making headbands for her softball team. She needs a total of 34 yard of fabric. Which types of fabric cost less than $8 per yard? Write yes or no in each blank.


cotton 5.54
flannel 2.62
fleece 4.27
terry cloth 6.52

Answers

Cotton=No
Flannel=Yes
Fleece=No
Terry cloth=No

cost less than $8 per yard cotton, flannel and fleece.

What is Unitary Method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

For cotton:

5.54 ÷ 3/4

=7.39<8

For flannel:

2.62 ÷ 3/4

=3.49<8

For fleece:

4.27 ÷ 3/4

=5.69 < 8

For terry cloth:

=6.52 ÷ 3/4

= 8.69>8

So, cost less than $8 per yard cotton, flannel and fleece.

Learn more about Unitary method here:

https://brainly.com/question/22056199

#SPJ2

The rental fee for space at a flea market is $200 per month base rate
plus an additional $10 for each square yard of floor space beyond the
standard area of 12square yards. The total fee can be modeled using the
equation in the box, where "F" represents the fee, and "x" represents the
number of square yards rented beyond the standard area. What is the
most reasonable meaning of the number 10 in this equation?

Answers

Answer:

anor soi sena orka uzumo senda?

the graph shows the cost of joining a gym in town a

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Answer:

which graph?

Step-by-step explanation:

26 less than three times a number is -32 find the number

Answers

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Suppose a number is :

[tex]x[/tex]

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Three times of it means :

[tex]3x[/tex]

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26 less than above means :

[tex]3x - 26[/tex]

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Equals - 32 :

[tex]3x - 26 = - 32[/tex]

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Find the that number ;

x asked thus we need to solve the above equation for x.

Let's do it....

[tex]3x - 26 = - 32[/tex]

Add sides 26

[tex]3x - 26 + 26 = - 32 + 26[/tex]

[tex]3x = - 6[/tex]

Divide sides by 3

[tex] \frac{3}{3} x = \frac{ - 6}{3} \\ [/tex]

[tex]x = - 2[/tex]

Done...

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find the sum 9.33 + 48.4

Answers

Answer:

57.73

Hope this helps!!

57.73

My calculator told me:)

A lemonade recipe calls for the juice of 5 lemons, 2 cups of water, and 2 tablespoons of honey.
Invent four new versions of this lemonade recipe:

1) One that would make more lemonade but taste the same as the original recipe.
2) One that would make less lemonade but taste the same as the original recipe.
3) One that would have a stronger lemon taste than the original recipe.
4) One that would have a weaker lemon taste than the original recipe.
Pls, I'm struggling right now lol.

Answers

Answer:

1. 10 lemons, 4 cups of water and 4 tablespoons of honey

2. 2 1/2 lemons, 1 cup of water and 1 tablespoon of honey

3. 8 lemons, 2 cups of water and 2 tablespoons of honey

4. 2 lemons, 2 cups of water, 2 tablespoons of honey

Answer:

10 lemons, 4 cups of water, 4 tbspoons honey

2 1/2 lemons, 1 cup water, 1 tbspoon honey

7 lemons, 2 cups of water, 1 tbspoon honey

3 lemons, 2 1/2 cups of water, 2 tbspoons honey

Step-by-step explanation:

Can I have Brainliest??? Please!!!

Solve 210 ÷ 30 = ___ using mental math.

7
70
700
7,000

Answers

The answer would be 7

Answer:

7

-by-step explanation:

none needed just do it in your head like 21 devided by 3=7

What is –96 ÷ +3? im a little confused when it comes to math

Answers

It’s -32
You’d do 96 divided by 3 with long division and put - in front of the answer

Ben bought 1 2/3 pounds of jelly beans and 2 3/8 pounds of jolly ranchers. What are the total pounds of candy that Ben bought?

Answers

Answer:

4 1/24

Step-by-step explanation:

1 2/3 +2 3/8 = 5/3 +2 3/8 = 5/3 + 19/8 = 97/ 24 =4 1/24

If the hypotenuse of a right triangle is ✔20 units, what are the lengths of the two legs?​

Answers

Answer:

It could by any 2 numbers that satisfy a^2+b^2= 20.

One example would be 4 and 2:

4^2+2^2=16+4=20

I hope this helped.

2.25x=27
Addition Property
Substraction Property

Answers

X=12.

Substraction property.

Can someone pls help me on this

Answers

Answer:

41.309 kg, 41.32 kg, 41.236 kg

Step-by-step explanation:

I think these are the correct answers.

Find two numbers if their difference is 16 and their ratio is 5:7.
please hurry

Answers

Answer:

40 and 56

Step-by-step explanation:

This du today I NEED HELP!!!!! IS URGENT!!!!!!!!!!!!!

Answers

Answer:

x = 8

Step-by-step explanation:

The perimeter of a body is the sum of all its sides.

  Perimeter of the triangle;

       hypothenuse + opposite + adjacent  = x+6 + x + 3 + x + 9 = 3x + 18

  Perimeter of the rectangle  = x+1 + x + 4 + x + 1 + x + 4 = 4x + 10

Now,

 Since their perimeter is equal;

                           3x + 18 = 4x + 10

                             3x - 4x  = 10 - 18

                               -x  = -8

                               x = 8

Please Help me! I'm Desperate!

Answers

Answer:

a,c,b

Step-by-step explanation:

Express 30 ^1/3 in simplest radical form.

Answers

Answer:

10

Step-by-step explanation:

PLEASE ANSWER QUICK WILL MARK BRAINLIEST

Answers

Answer:

1) A = 80

2) A = 30

Step-by-step explanation:

1) x+50 + 80 + x + 70 = 180

2x+120 = 180

2x = 60

x=30

A = (30) + 50

A = 80

2) x+40 + x+90 + (180-110) = 180

x+40 + x+90 + 70 = 180

2x + 200 = 180

2x = -20

x = -10

A = (-10) + 40

A = 30

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