Answer:
Step-by-step explanation:
[tex]Florence \ washed \ 3\ cars \ and\ earned\ = \$ x\\\\[/tex]
[tex]Cost\ of \ washing \ one \ car = \frac{x}{3}[/tex]
[tex]Anona \ washed \ 5 \ cars \ and \ earned \ 16 \ more \ than \ Florence = x + 16[/tex]
[tex]Cost\ of \ washing \ one \ car \ by \ Anona = \frac{x +16}{5}[/tex]
[tex]\frac{x}{3} = \frac{x + 16}{5}\\[/tex] [tex][ \ cross \ multiply \ ][/tex]
[tex]5 \times x = 3 \times( x + 16)\\\\5x = 3x + 48\\\\5x - 3x = 48\\\\2x = 48\\\\x = 24[/tex]
[tex]Cost \ of \ washing \ one \car = \frac{x}{3} = \frac{24}{3} = \$ 8[/tex]
Therefore ,
Florence earned $24
Anona earned 24 + 16 = $40
Caragh Washed 4 cars, so Caragh earned = 8 x 4 = $32
