Answer:
• The amount that Ashley gets = $900
,• The amount that Benny gets = $300
,• The amount Carol gets = $150
Explanation:
Let the amount that Ashley gets = a
• Benny gets equal to one-third of Ashley, therefore, the amount that Benny gets = 1/3a
,• Carol gets equal to half of Benny, therefore, the amount Carol gets = 1/2(1/3a)
Thus, the amount $1,350 divided is:
[tex]\begin{gathered} a+\frac{1}{3}a+\frac{1}{2}(\frac{1}{3}a)=1350 \\ a+\frac{1}{3}a+\frac{1}{6}a=1350 \\ a(1+\frac{1}{3}+\frac{1}{6})=1350 \\ 1.5a=1350 \\ a=\frac{1350}{1.5} \\ a=900 \end{gathered}[/tex]Thus:
• The amount that Ashley gets = $900
,• The amount that Benny gets = 1/3(900) = $300
,• The amount Carol gets = 1/6(900) = $150
