John has two different sugar syrups. Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water. How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

Answers

Answer 1

Answer:

Volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts .

Step-by-step explanation:

Syrup A : 2 parts sugar , 8 parts of water .

Total = 10 parts

Syrup B : 3 parts sugar , 5 parts of water .

Total = 8 parts .

Mixture required 280 quarts , 3 parts sugar , 7 parts water

In 280 quarts , sugar = 280 x 3  / ( 3 + 7 )

sugar = 84 parts

Let volume of syrup A be x , volume of syrup B = 280 - x

sugar A =  2 x / 10 = 0.2 x

sugar B = 3 ( 280 - x ) / 8 = .375 ( 280 - x )

Total sugar =  .2 x + .375 ( 280 - x ) = 84 .

.2 x + 105 - .375 x = 84

105 - 84 = .375 x - .2 x = .175 x

.175 x = 21

x = 21 / .175 = 120

Volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts .

Answer 2

John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

Given that,

John has two different sugar syrups.

Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water.

We have to determine,

How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

According to the question,

Syrup A: 2 parts sugar, 8 parts of water.

Total number of parts = 10 parts

Syrup B : 3 parts sugar, 5 parts of water.

The total number of parts  = 8 parts.

The mixture required 280 quarts, 3 parts sugar, 7 parts water,

In 280 quarts, parts of sugar are,

[tex]= \dfrac{280 \times 3 }{ ( 3 + 7 )}\\\\= \dfrac{280 \times 3}{10}\\\\= 84[/tex]

 

Let the volume of syrup A be x,

And the volume of syrup B be 280 - x

[tex]Sugar\ A = \dfrac{2x}{10} \\\\Sugar \ A = 0.2 x[/tex]

[tex]Sugar \ B = \dfrac{3 ( 280 - x ) }{8 }\\\\Sugar \ B= .375 ( 280 - x )[/tex]

The total amount of sugar is,

[tex]0.2 x + 0.375 ( 280 - x ) = 84 \\\\0.2 x + 105 -0 .375 x = 84\\\\105 - 84 = 0.375 x - 0.2 x = 0.175 x\\\\ 0.175 x = 21\\\\x = \dfrac{21}{0.175}\\\\x = 120[/tex]

Therefore,

The volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts

Hence, John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

For more details, refer to the link.

https://brainly.com/question/11921451


Related Questions

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A

Step-by-step explanation:

A) the only answer in which the distributive property is used correctly.

Which number will you read 'two-tenths'?

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Answer: two-tenths as a fraction is 2/10, and as a decimal it's 0.2.

Step-by-step explanation: The "0" is the ones place and the "2" is the tenths place. There is a chart below.

Marco starts getting ready for soccer practice at 3:55 P.M. if it takes him 15 minutes to get ready, what time is he ready to leave? *

Answers

Answer:

4:10 PM

Step-by-step explanation:

15 minutes can be slit into 5 minutes and 10 minutes

There are 60 minutes in an hour!

3:55 + 0:05 = 4:00

4:00 + 0:10 = 4:10

Answer:

4.10am

Step-by-step explanation:

3.55+15=3.70

There are 60 mins in an hour so take away 60 mins from 70 mins which is 10 mins.

Then you add one to 3 because 60 mins makes one hour which will give you 4

=4.10am

Hope it helps you

PLS RATE AS BRAINLIEST ANSWER

Can someone help me by telling me what I have to do in the yellow box please

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Answer:

what change in the chart That want to what's the overall change in the consumptions. if you don't kno what consumptions is look it up

A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). (Enter your answers to four decimal places.)

Required:
a. How many selections result in all 7 workers coming from the day shift?
b. What is the probability that all 7 selected workers will be from the day shift?
c. What is the probability that all 7 selected workers will be from the same shift?
d. What is the probability that at least two different shifts will be represented among the selected workers?
e. What is the probability that at least one of the shifts will be unrepresented in that sample of workers?

Answers

Answer:

Step-by-step explanation:

Total number of workers = 20+ 15 + 10 = 45

Suppose 6 workers are selected from 45 workers, the number of ways they can be selected is [tex](^{45}_6)[/tex] ways

If 7 workers are selected from 20 workers on a day shift;

Then, the number of ways to select 7 members from a group of 20 is [tex](^{20}_7)[/tex] ways;

P( all 7 selected workers will be from the day shift) is:

[tex]= \dfrac{(^{20}_7)}{(^{45}_6)}[/tex]

[tex]=\dfrac{ \dfrac{20!}{7!(20-7)!} } { \dfrac{45!}{6!(45-6)!}}[/tex]

= 0.0095

The possible number of ways to select all day shift workers is:

[tex]=(^{20}_{7})[/tex]

The  possible number of ways to select all swing shift workers is:

[tex]=(^{15}_{7})[/tex]

The possible number of ways to select all graveyard shift workers is:

[tex]= ( ^{10}_{7})[/tex]

The probability that all selected workers are from the same shift is:

[tex]= \Bigg [ \dfrac{ (^{20}_7) }{(^{45}_6) } + \dfrac{ (^{15}_7) }{(^{45}_6) } + \dfrac{ (^{10}_7) }{(^{45}_6) } \Bigg][/tex]

[tex]= \begin {bmatrix} \dfrac{ \dfrac{20!} {7!(20-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{15!} {7!(15-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{10!} {7!(10-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } \end {bmatrix}[/tex]

= 0.0095 + 0.00079 + 0.000015

= 0.010305

P(selected workers are from at least two different shifts)

= 1 - P(selected workers are from 1 shift from any of the 3 shifts)

= 1 - 0.010305

= 0.989695

≅ 0.9897

We can determine the probability that at least one shift is unrepresented through the following ways:

Let assume that:

[tex]X_1 =[/tex] event that day shift is unrepresented

[tex]X_2 =[/tex] event that swing shift is unrepresented

[tex]X_3 =[/tex] event that graveyard shift is unrepresented

Thus; [tex](X_1 \cap X_2)[/tex] = event that all of them are drawn from graveyard shift.

[tex](X_1 \cap X_3) =[/tex] event that all are drawn from swing shift

[tex](X_2 \cap X_3) =[/tex] event that they are all drawn from day shift.

So;

[tex]P(X_1) = \dfrac{(^{25}_{7})} { (^{45}_{6}) } = 0.0590[/tex]

[tex]P(X_2) = \dfrac{(^{30}_{7})} { (^{45}_{6}) } = 0.2499[/tex]

[tex]P(X_3) = \dfrac{(^{35}_{7})} { (^{45}_{6}) } = 0.8256[/tex]

[tex]P(X_1 \cap X_2) = \dfrac{(^{10}_{7})} { (^{45}_{6}) } = 0.000015[/tex]

[tex]P(X_1 \cap X_3) = \dfrac{(^{15}_{7})} { (^{45}_{6}) } = 0.00079[/tex]

[tex]P(X_2 \cap X_3) = \dfrac{(^{20}_{7})} { (^{45}_{6}) } = 0.0095[/tex]

[tex]P(X_1 \cap X_2 \cap X_3) =0[/tex]

Probability (that at least one shift is unrepresented) is:

[tex]= P(X_1) + P(X_2) +P(X_3) - P(X_1 \cap X_2) - P(X_1 \cap X_3) - P(X_2 \cap X_3) + P(X_1 \cap X_2 \cap X_3)[/tex]

= 0.0590 + 0.2499 + 0.8256 - 0.000015 - 0.00079 - 0.0095 + 0

≅ 1.124

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x+4/9=3/4

Answers

Answer:

x = ¹¹⁄₃₆ Or 0.30555555555

Explanation:

x + ⁴⁄₉ = ¾

Subtract ⁴⁄₉ From Each Side

x + ⁴⁄₉ - ⁴⁄₉ = ¾ - ⁴⁄₉

Simplify

x = ¹¹⁄₃₆ Or 0.30555555555

- PNW

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Answers

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Step-by-step explanation:

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Answers

Answer:

720

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What is the formula to find the permutation?

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To learn more about the permutation visit:

https://brainly.com/question/1216161.

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Step-by-step explanation:

340 grams

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

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Answers

Answer:

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Answers

[tex]6(2x - 5) = - (x + 4)[/tex]

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12x - 30 = -x - 4

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Answers

Answer:

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Step-by-step explanation:

Again, all I know of.

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Answer:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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For each gym membership sold, the gym keeps $42 and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym me

Answers

Answer:

Commission of the employee = 16%

Step-by-step explanation:

It is given that:

Amount kept by gym = $42

Amount given to employee = $8

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Answers

Answer:

(n + 2)² + 6

Step-by-step explanation:

pattern 1:

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Pattern 2:

Total squares = 22

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Pattern 3:

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There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6

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Answers

Answer:

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