Question

Michael has eight bags of mulch how many trees can he mulch if each tree requires 2/3 bags of mulch.a) 16/3, b) 3/4, c) 12, d)16

Answer 1

12 (option C)

Step-by-step explanation:

1 tree requires 2/3 bags of mulch

Let the number of trees for 8 bags of mulch = y

1 tree = 2/3 bags

y = 8 bags

Cross multiply:

8(1) = y(2/3)

`\begin{gathered} 8\text{ = }(2y)/(3) \\ Mu\text{ltiply both sides by 3:} \\ 8(3)\text{ = 2y} \\ 24\text{ = 2y} \end{gathered}`
`\begin{gathered} \text{Divide both sides by 2:} \\ \frac{24}{2\text{ }}=(2y)/(2) \\ y\text{ = 12 } \end{gathered}`

Hence, 8 bags of mulch require 12 trees (option C)