Ratio Question: Florence washed 3 cars, Caragh washed 4 and Anona washed 5. Anona earned £16 more than Florence. Work out how much each earnt.

Question

asked Jul 28, 2022 226k views

2 Answers

Avyaan · Answer 1 · 2022-07-29T04:05:39+0000

Answer:

Explanation:

$Florence \ washed \ 3\ cars \ and\ earned\ = \$ x\\\\$

$Cost\ of \ washing \ one \ car = (x)/(3)$

$Anona \ washed \ 5 \ cars \ and \ earned \ 16 \ more \ than \ Florence = x + 16$

$Cost\ of \ washing \ one \ car \ by \ Anona = (x +16)/(5)$

$(x)/(3) = (x + 16)/(5)\\$
$[ \ cross \ multiply \ ]$

$5 * x = 3 *( x + 16)\\\\5x = 3x + 48\\\\5x - 3x = 48\\\\2x = 48\\\\x = 24$

$Cost \ of \ washing \ one \car = (x)/(3) = (24)/(3) = \$ 8$

Therefore ,

Florence earned $24

Anona earned 24 + 16 = $40

Caragh Washed 4 cars, so Caragh earned = 8 x 4 = $32