Question

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

Answer 1

Let the total earnings be = x

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

Jennifer earned = $48

$\frac{3x}{5}=48$

$3x=240$

x=80

Hence total earnings are $80

(a) Chris earning is = $\frac{2x}{5}=\frac{2*80}{5}=32$

Hence, Chris earns $32

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

So, price of the book = $\frac{30}{100}\times48$

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 = $\frac{28.20}{48}$

or multiplying the numerator and denominator by 10, we get

$\frac{282}{480}$=$\frac{47}{80}$

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

reduction percentage on x= 40%

Price paid after reduction = 16.80

$\frac{40x}{100}=16.80$

$40x=1680$

$x=42$

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