Question

9. Divide a sum of $1,350 among Ashley, Benny and Carol such that Benny gets equal to one-third of Ashley and Carol gets equal to half of Benny

Answer 1

• The amount that Ashley gets = $900

,

• The amount that Benny gets = $300

,

• The amount Carol gets = $150

Step-by-step 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:

`\begin{gathered} a+(1)/(3)a+(1)/(2)((1)/(3)a)=1350 \\ a+(1)/(3)a+(1)/(6)a=1350 \\ a(1+(1)/(3)+(1)/(6))=1350 \\ 1.5a=1350 \\ a=(1350)/(1.5) \\ a=900 \end{gathered}`

Thus:

• The amount that Ashley gets = $900

,

• The amount that Benny gets = 1/3(900) = $300

,

• The amount Carol gets = 1/6(900) = $150