Question

Kristen and stephanie share some money in the ratio 3:2 calculate the fraction of the $72 kristen has left

Answer 1

Answer:

Step-by-step explanation:

The money is shared by Kristian and Stephanie in ratio 3 : 2

Kristian received $72. So we can write

3 : 2 = 72 : ?

$\frac{3}{2} = \frac{72}{y}$

3 x y = 2 x 72

y = $\frac{72 x 2} {3}$

y = $\frac{24 x 3 x 2}{3}$

y = 24 x 2

y = 48

Answer 2

• Stephanie receives total share of $ 48 .
• The price of the computer game is equal to $ 32.40 .
• The fraction of the $72 Kristian has left after buying the computer game and the meal is equal to 13/30 .

Complete Question :- Kristian and Stephanie share some money in the ratio 3 : 2. Kristian receives $72 .

To Find :-

1) Work out how much Stephanie receives.

2) Kristian spends the 45% of his $72 on a computer game. Calculate the price of the computer game.

3) Kristian also buys a meal for $8.40; calculate the fraction of the $72 Kristian has left after buying the computer game and the meal ?

Solution :-

(1)

given that,

→ Kristen share : Stephanie share = 3 : 2

So, let us assume that, kristen share is equal to $ 3x and Stephanie share is equal to $ 2x .

also given that,

→ Kristen receives = $ 72

So,

→ 3x = 72

dividing both sides by 3,

→ x = 24

then,

→ Stephanie receives = $ 2x = 2 × 24 = $ 48 (Ans.)

(2)

→ Kristian spends on computer game = 45% of his $ 72 .

So,

→ Price of the computer game = (45 × 72)/100 = $ 32.40 (Ans.)

(3)

→ Kristian buys a meal for = $ 8.40

So,

→ Total amount spend by Kristian = Price of the computer game + meal price = 32.40 + 8.40 = $ 40.80

then,

→ Total amount left with kristian = Total amount Kristen receives - Total amount spend by Kristian = 72 - 40.80 = $ 31.20

therefore,

→ Required fraction = Total amount left with kristian / Total amount Kristen receives

→ Required fraction = 31.20 / 72

→ Required fraction = 3120/7200

→ Required fraction = 312/720

→ Required fraction = 39/90 { dividing numerator and denominator by 8 }

→ Required fraction = 13/30 { dividing numerator and denominator by 3 }

hence, the fraction of the $72 kristen has left is equal to 13/30 .

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