Question is based on Fraction

A man intended to distribute a certain amount of money he had, by giving 2/5 to his wife and the remaining amount equally to his three sons. However, he had to give 1/6 of this amount to his brother before he distributed it as intended. He distributed the remaining amount as originally intended.

Q1. The amount a son received was 40000 rupees less than the amount he was to receive originally. Find the amount the man had intially ?​ ​

Answers

Answer 1

9514 1404 393

Answer:

  12,00,000 rupees

Step-by-step explanation:

The fraction originally intended for each son was ...

  (1/3)(1 -2/5) = 1/3(3/5) = 1/5

The fraction each son actually received was ...

  (1 -1/6)(1/5) = (5/6)(1/5) = 1/6

The difference in these amounts as a fraction of the original distribution is ...

  1/5 - 1/6 = (6/30) -(5/30) = 1/30

Then the original distribution is 30 times this difference:

  30×40000 rupees = 12,00,000 rupees

_____

Additional comment

Originally-intended distribution (rupees):

wife: 4,80,000each son: 2,40,000

Actual distribution:

brother: 2,00,000wife: 4,00,000each son: 2,00,000

1,00,000 = 1 lakh


Related Questions

increase percent of $25; 300%

Answers

The answer is 75

25x3=75

x-2y+z=2
bx+ay=3
-2y+z=-4
Choose appropriate values for a and b

Answers

Answer:

Attached

Step-by-step explanation:

Just for your reference, this question will get unlimited number of solutions, attached is a few examples I calculated from Excel. Have fun to pick one or create one to be your favorite.

Pls help do all and I’ll brainlist you

Answers

Answer:

1. 28.7

2. 14.11

3. 35.3

4. 32.8

Step-by-step explanation:

you just multiply then round the nearest tenths.

Write168 to the nearest hundred

Answers

Answer:

200

Step-by-step explanation:

6 is closer to 10 than 0

15 ) Kayla has 14.5% of her salary placed into an Individual
Retirement Account. What fraction is this? *
1/2
22/100
2/3
29/200

Answers

Answer:

29/200

Step-by-step explanation:

Turn all fractions into percentages by dividing the numerator by the denominator then multiply the quotient by 100 to get it in percent.

1/2 = 50%

22/100 = 22%

2/3 = 66.7%

29/200 = 14.5%

Now that we turned all fractions into percents, we can see that 29/200 is that answer since its percentage is 14.5%.

How do I evaluate this

Answers

Answer:

18

Step-by-step explanation:

Plug in 3 for x

2(3)^2

2(3*3)

2*9

18

Answer:

The answer is 18

Step-by-step explanation:

2x², x = 3

Evaluate 3

2(3)²

2 × 9 = 18

Thus, The answer is 18

-TheUnknownScientist 72

Which sum does the model below represent?
04+ (-7)= -3
0 4+ 7 = 11
8 + (-3) = 4
11+ (-4) = -3

Answers

Answer:

It represents that it is false

Step-by-step explanation:

find all the zeros of the quadratic function y=x²-9x+20

Answers

Answer:

Roots: x = 5; x = 4

Step-by-step explanation:

Given the quadratic equation, x² -9x + 20 = 0

where a = 1, b = -9, and c = 20

Determine the nature and number of solutions based on the discriminant, b² - 4ac:  

b² - 4ac = (-9)² - 4(1)(20) = 1

Since b² - 4ac > 0, then it means that the equation will have two real roots.

Use the Quadratic Formula:

[tex]x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]

[tex]x = \frac{-(-9) +/- \sqrt{(-9)^{2} - 4(1)(20)} }{2(1)}[/tex]

[tex]x = \frac{9 +/- \sqrt{1}}{2}[/tex]

[tex]x = \frac{9 + 1}{2}; x = \frac{9 - 1}{2}[/tex]

[tex]x = \frac{10}{2}; x = \frac{8}{2}[/tex]

x = 5; x = 4

Therefore, the roots of the quadratic equation are: x = 5; x = 4.

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 7 : 40 p.m. At this time, he started pumping gas into the tank. At exactly 7 : 45 , the tank was full and he noticed that he has pumped 12.3 gallons. What is the average rate of flow of the gasoline into the gas tank

Answers

Answer: 2.46 gallons per minute.

Step-by-step explanation:

12.3 divided by 5 is 2.46.

a patio is rectangular. Its length is 8.27 meters and it's width is 4.2 meters. what is the approximate perimeter of the patio?

Answers

Answer: P≈24.94m

Step-by-step explanation:

P=2(l+w)=2·(8.27+4.2)≈24.94m

Find the final price of a $150.00 guitar after a 40%
discount and 6% tax.

Answers

Answer:

$ 100?

Step-by-step explanation:

That's my answer

Helpppppppopooppp pleassseee

Answers

Answer:

point p. ok. vrvxfff77t.

b. 60:45 and 4:3 why is it equivalent.​

Answers

Step-by-step explanation:

60:45 in fraction form is [tex]\frac{60}{45}[/tex], and reducing it to its simplest form by dividing the fraction by [tex]\frac{15}{15}[/tex] gives you:

[tex]\frac{60}{45}[/tex] ÷  [tex]\frac{15}{15}[/tex] = [tex]\frac{4}{3}[/tex]

Likewise, 4:3 in fraction form is [tex]\frac{4}{3}[/tex].

Therefore, 60:45 and 4:3 are equivalent.

Answer:

because both can be divided by 15

Step-by-step explanation:

60/15=4

45/15=3

Super simple, just don't know if I am right or not.

Answers

The answer is 100% true
When it is graphed it points up over x axis
See pic

This size running track is usually called a 400-meter track. However, if a person ran as close to the "inside" as possible on the track, they would run less than 400 meters in one lap. How far away (in meters) from the inside border would someone have to run to make one lap equal exactly 400 meters?

Answers

Answer:

its 0 because its -400-400=0

Step-by-step explanation:

Solve the word problems.
Show your work clearly.

1. Ryan started watching a movie at 20 25. The movie lasted 2 hours 25 minutes. What time did the movie end?

____h ___min
⬇️

20:25 21:25 22:25 ?

______ hours after 20:25 is _______ minutes after ______ is.

The movie ended at _____​

Answers

2 hours after 20 25 is 22 25

25 minutes after 22 25 is 22 50

The movie ended at 22 50

Don’t understand this

Answers

[tex]3.32×10^4[/tex]

Answer:

please mark me as brainlest

Step-by-step explanation:

3.32×10^4

if 25 articles cost $43.75 how much does each cost?​

Answers

Answer:

$1.75

Step-by-step explanation:

I had this question and got it right!

Find the midpoint between (-9, 3) and (5, 7). PLEASE SOLVE THIS QUICK!! DUE IN AN HOUR

Answers

Answer:

(-2,5)

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

We know that mid - point of a line segment divides it into two equal parts, that is it divides the segment in the ratio of 1 : 1, so let's find the coordinates of the mid point of line segment joining points (-9 , 3) and (5 , 7).

let the coordinates of the points be x and y, now

[tex]m = 1[/tex]

[tex]n = 1[/tex]

[tex]x_2 = 5[/tex]

[tex]x_1 = - 9[/tex]

[tex]y_2 = 7[/tex]

[tex]y_1 = 3[/tex]

Using section formula :

value of x :

[tex]x = \dfrac{mx_2 - nx_1}{m + n} [/tex]

[tex]x = \dfrac{(1 \times 5) - (1 \times - 9)}{1 + 1} [/tex]

[tex]x = \dfrac{5 - ( - 9)}{2} [/tex]

[tex]x = \dfrac{5 + 9}{2} [/tex]

[tex]x = \dfrac{14}{2} [/tex]

[tex]x = 7[/tex]

value of y :

[tex]y = \dfrac{my_2 -ny_1 }{m+ n} [/tex]

[tex]y = \dfrac{(1 \times 7) - (1 \times 3)}{1 + 1} [/tex]

[tex]y = \dfrac{7 - 3}{2}[/tex]

[tex]y = \dfrac{4}{2} [/tex]

[tex]y = 2[/tex]

So, coordinates of the point which is midpoint of the given line is :

[tex] \boxed{ \boxed{ (7, 2)}}[/tex]

Given b(x)= (-3,7), state what the coordinates of this point will be of the following transformations are effected: 2b(x)

Answers

The point translated up 7 and left 3. This will cause the point to go from (-3,7) to (-6,14)

The answer pleaseeee

Answers

Step-by-step explanation:

given,

x = 12

y = 4

therefore according to

F. y = 1/3x

4 = 1/3×12 1×4 = 4

4 = 4

G. y = 3x

4 = 3(12) = 36

4 36

H. y = 48/x

4 = 48/12

4 = 4

J. y = x - 8

4 = 12 - 8

4 = 4

therefore, F , H and J represents this relationship.

hope this answer helps you dear! take care

Triangle HEF is the image of triangle HGF after a reflection across line FH. Write a congruence statement for the 2 congruent triangles.

Answers

EF= FG
EH= HG
Angle G= angle E

The required statement for the 2 congruent triangles is 1. EF = FG, 2. EH = GH, and ∠E = ∠G.

Given that,
Triangle HEF is the image of triangle HGF after a reflection across line FH. To determine a congruence statement for the 2 congruent triangles.

What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

Here,
Since triangle HEF is the image of triangle HGF after a reflection across line FH.
Implies,
1. EF = FG
2. EH = HG
3. ∠E = ∠G


Thus. the required statement for the 2 congruent triangles is 1. EF = FG, 2. EH = GH, and ∠E = ∠G.

Learn more about congruent geometry here. https://brainly.com/question/12413243

#SPJ5

PLEASE I NEED HELP ASAP!!
Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If an object made of this alloy weighs 77 pounds, how many pounds of aluminum does it contain?

Answers

Answer:

The correct answer is (A). Copper and aluminum in the ratio of 10:1 means 10 parts copper to 1 part aluminum.

Step-by-step explanation:

7 pounds of aluminum in aluminum bronze by by weight.

What is Ratio?

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

What is percentage?

The percentage is defined as the ratio expressed as a fraction of 100.

The percentage is denoted by sign of %.

For example, if XYZ scored 46% marks in his test, it means that he scored 46 marks out of 100. It is written as 46/100 in the fraction form and 46:100 in terms of ratio.

Aluminum bronze consists of copper and aluminum in the ratio of 10:1 by weight

The ratio of copper and aluminum in aluminum bronze = 10:1

Let, aluminum in aluminum bronze by weight = x pound

And copper in aluminum bronze by weight = 10x pound

Since object made of this alloy weighs 77 pounds

So, x + 10x = 77

11x = 77

x = 7

Hence, 7 pounds of aluminum in aluminum bronze by by weight

Learn more about Ratio here:

brainly.com/question/1504221

#SPJ2

i dont know the answer to this question

Answers

Answer:

- 9°C is less than -4°C

Step-by-step explanation:

The reason that why these temperatures are related because when we start counting the numbers from left, it becomes smaller. For ex- 3 is on the left of 5. So, 3 is smaller than 5. That's how when we start counting from the left in negative numbers, the negative numbers gets smaller.


Simplify: the square root 400/576

Answers

Answer:

5 / 6

Step-by-step explanation:

√( 400 / 576 )

= √400 / √576

= 20 / 24

= 5 / 6

Answer:

5/6

Step-by-step explanation:

The GCF is 16 then divide it by both of denominator and numerator

> 400÷16/576÷16

> 25/36

then write there exponential form a²+b², a²-b², a²/b²

> 5²/6²

Simplify or (Reduce) there exponent

> 5/6

what does variable represent ​

Answers

Answer:

A variable represents an unknown, numerical value that can vary, taking on different values.

Step-by-step explanation:

In algebra/math, a variable stands for an unknown quantity that can vary, taking on different values. It is often represented by the letter x, but it can be different kinds of symbols such as a, b, z, etc.

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment.

Step-by-step explanation:

PLS mark me as brainliest :)

[tex]x^{2} -5x-6[/tex]

Answers

Answer:

[tex] {x}^{2} - 5x - 6 \\ (x - 6)(x + 1)[/tex]

I hope I helped you^_^

what is the value of the 4 in 53.42

Answers

Answer:

The value of four is tenths. If you are stuck in a question like this, just draw a place value grid.

Answer:

tens so 4*10 = 40

Step-by-step explanation:

53.42

the value of 4 is 4*10=40

A pair of Jeans cost $88 A jeans jackets cost twice as much What is the cost of a Jean jacket and 4 pairs of jeans

Answers

Answer:

$528

Step-by-step explanation:

$88 x 4 to find the cost of total amount of jeans

$88 x 2 for total cost of jean jacket

Add both together to find total amount

You already found what jeans cost. Now all you have to find is the cost of the jean jacket

88*2 = 176.

Now you have to multiply 4 onto the 88. Your answer is 352.

solve 12.01 x 5.21

please help me!

Answers

Answer:

62,5721

Step-by-step explanation:

12,01 × 5,21

= 62,5721

12.01×5.211201/100×521/100(1201)(521)/100²625721/1000062.5721
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