Question

Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The first month, he volunteered for x hours. The next month, he volunteered for 1 2/3 times as many hours as he had the first month. If he volunteered for a total of 40 hours, how many hours did he volunteer during the first month? Write an equation to represent the situation and solve.

Answer 1

Answer:

15 hours

Step-by-step explanation:

$x$ is the number of hours that Liam volunteered in the first month

The next month he volunteered $1\dfrac{2}{3}$ times the time he volunteered the first month.

Total time he volunteered in the two months is 40 hours so

$x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15$

Time he volunteered in the first month is 15 hours.