Question

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:

Hours in first month = 8

Step-by-step explanation:

AS it is given

He volunteered fr the first month = x hours

He volunteered for the second  month = 12/3 times of first month

which will be = $\frac{12}{3}*x$

Total Hours volunteered = 40 hours

Now according to the given conditions

Volunteered first month + volunteered second month = total

putting this gives

x + $\frac{12}{3}*x$ = 40

as 12/3 = 4 so

it becomes

x + 4x = 40    

solcing it will gives

5x = 40

x = 40/5

x = 8

So Numbers of hours worked in first month are 8