Question

HELP ASAPJennifer and Chris completed some chores and split the earnings in the ratio 3:2. Jennifer earned $48.

(a) Work out how much Chris earned.


(b) Jennifer spends 30% of her earnings on a book. Calculate the price of the book.


(c) Jennifer also buys a magazine for $5.40. Calculate the fraction of Jennifer’s earnings she has left after buying the book and the magazine. Give your answer in its lowest terms.


(d) Chris buys a shirt on sale for $16.80. This sale price is after a reduction of 40%. Calculate the original price of the shirt.

Answer 1

Let the total earnings be = x

Jennifer and Chris split the earnings in the ratio 3:2

Jennifer earned = $48

`(3x)/(5)=48`

`3x=240`

x=80

Hence total earnings are $80

(a) Chris earning is =
`(2x)/(5)=(2*80)/(5)=32`

Hence, Chris earns $32

(b) Jennifer spends 30% of her earnings on a book.

So, price of the book =
`(30)/(100)*48`

Price of book = $14.40

(c) Jennifer also buys a magazine for = $5.40

So, total money Jennifer spent on book and magazine = 14.40+5.40=19.80

Money left with Jennifer = 48-19.80= $28.20

In fractions =
`(28.20)/(48)`

or multiplying the numerator and denominator by 10, we get

`(282)/(480)`=
`(47)/(80)`

(d) Let the original price of the shirt = x

reduction percentage on x= 40%

Price paid after reduction = 16.80

`(40x)/(100)=16.80`

`40x=1680`

`x=42`

Hence, the original price of the shirt was $42.