Respuesta :
Given:
Sam takes 4 hours to peel 32 potatoes.
Josh takes 5 hours to peel 30 potatoes.
The objective is to find the number of potatoes they will peel together in 12 hours.
Explanation:
Consider the number of potatoes peeled by Sam in 1 hour as x.
The value of x can be calculated as,
[tex]\begin{gathered} x=\frac{32}{4} \\ x=8 \end{gathered}[/tex]Similarly, consider the number of potatoes peeled by Josh in 1 hour as y.
The value of y can be calculated as,
[tex]\begin{gathered} y=\frac{30}{5} \\ y=6 \end{gathered}[/tex]Number of potatoes peeled in 1 hour:
The number of potatoes peeled by both in 1 hour can be calculated as,
[tex]\begin{gathered} n=x+y \\ =8+6 \\ =14 \end{gathered}[/tex]Number of potatoes peeled in 12 hour:
The number of potatoes peeled by both in 12 hour can be calculated as,
[tex]\begin{gathered} N=12n \\ =12(14) \\ =168 \end{gathered}[/tex]Hence, the number of potatoes they will peel together in 12 hours is 168.
