Respuesta :
EXPLANATION
Given that it takes 4 hours to peel 32 potatoes, and 5 hours to peel potatoes to Josh, assuming that x represent the time, we can apply the following reasoning:
First, we need to compute the unit rate for Sam and Josh as follows:
[tex]\text{Sam rate=}\frac{32potatoes}{4\text{ hours}}=8\frac{potatoes}{\text{hour}}[/tex][tex]\text{Josh rate=}\frac{30\text{ potatoes}}{5\text{ hours}}=6\frac{potatoes}{\text{hour}}[/tex]Now, we can compute the time by multiplying each rate by the amount needed of time as shown as follows:
[tex]8x+6x=100[/tex]Adding like terms:
[tex]14x=100[/tex]Dividing both sides by 14:
[tex]x=\frac{100}{14}[/tex]Simplifying:
[tex]x=\frac{50}{7}=7.14\text{ hours}[/tex]It will take approximately 7 hours to peel 100 potatoes to Sam and Johh together.
