Respuesta :
Let the total earnings be = x
Jennifer and Chris split the earnings in the ratio 3:2
Jennifer earned = $48
[tex]\frac{3x}{5}=48[/tex]
[tex]3x=240[/tex]
x=80
Hence total earnings are $80
(a) Chris earning is = [tex]\frac{2x}{5}=\frac{2*80}{5}=32[/tex]
Hence, Chris earns $32
(b) Jennifer spends 30% of her earnings on a book.
So, price of the book = [tex]\frac{30}{100}\times48[/tex]
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 = [tex]\frac{28.20}{48}[/tex]
or multiplying the numerator and denominator by 10, we get
[tex]\frac{282}{480}[/tex]=[tex]\frac{47}{80}[/tex]
(d) Let the original price of the shirt = x
reduction percentage on x= 40%
Price paid after reduction = 16.80
[tex]\frac{40x}{100}=16.80[/tex]
[tex]40x=1680[/tex]
[tex]x=42[/tex]
Hence, the original price of the shirt was $42.
