Question

Kristian and Stephanie sh.are some money in the ratio 3 : 2.
Kristian receives $72
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.

4) Stephanie buys a book in a sale for $19.20;
calculate the original price of the book

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Answer 1

Given,

The ratio of money shared between Kristian and Stephanie = 3 : 2

Money received by Kristian = $72

1) Let the total money be X.

Money received by Kristian = 3/5 x X

= $72

Thus, X = 5/3 x $72

= $120

Now, the money received by Stephanie = $120-$72

= $48

Hence, Stephanie receives $48.

2) Price of the computer game = 45% of $72

= 45/100 x 72

= $32.4

Hence, the price of the computer game is $32.4

3) Price of meal = $ 8.40

Total money spent by Kristian = $32.4+$8.40

= $40.8

Fraction of money left = ($72-$40.8)/$72

= 433/1000

Hence, the fraction of money left with Christian after the expenditure is 433/1000.

4) Data is insufficient to calculate the original price of the book.

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 .
• Data is incomplete .

Given :- 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 ?

4) Stephanie buys a book in a sale for $19.20;

calculate the original price of the book ?

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 .

(4) since, discount % is not given . Data is incomplete to find the original price of the book .

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