Question

what is the answer to this question: Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours. How many hours did each person volunteer over the weekend?

Answer 1

• Tadeo: 12 hours
• Dylan: 2 hours

Explanation:

We can let d represent the number of hours that Dylan volunteered. Then Tadeo volunteered for 6d hours, and their total hours were ...

d +6d = 14

7d = 14 . . . . . . collect terms

d = 2 . . . . . . . divide by the coefficient of d

6d = 6(2) = 12

Tadeo volunteered 12 hours; Dylan volunteered 2 hours.