Question

The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill. Which is the value of u?

Answer 1

9(u – 2) + 1.5u = 8.25
9u - 18 + 1.5u = 8.25
10.5u = 8.25 + 18
10.5u = 26.25
u = 26.25 / 10.5
u = 2.5

Answer 2

2.5

Explanation:

Given: The equation
`9(u - 2) + 1.5u = 8.25`models the total miles Michael traveled one afternoon while sledding.

To Find: Which is the value of u?

Solution:

`9(u - 2) + 1.5u = 8.25`

`9u - 18+ 1.5u = 8.25`

`10.5u = 8.25+18`

`10.5u =26.25`

`u =(26.25)/(10.5)`

`u =2.5`

Hence the value of u is 2.5