Question

Troy needs to complete 45 hours of training. During the fall, Troy completed 12 hours of training, and during the spring he completed twice as many hours as he had during the fall. Which equation can be used to find how many more hours of training (h) Troy needs to complete? Select one:

Answer 1

`36 + h = 45`

`h = 9`

Explanation:

Given

`Total = 45`

`Fall = 12`

`Spring = 2 * Fall`

Required

Determine the equation to find the hours (h) left

The sum of the hours spent during the fall, spring and the hours left must be equal to the total hours.

In other word;

`Fall + Spring + h = Total`

Substitute 2 * Fall for Spring

`Fall + 2 * Fall + h =Total`

Substitute values for Fall and Total

`12 + 2 * 12 + h = 45`

`12 + 24 + h = 45`

`36 + h = 45`

The above represents the equation,

Solving further for h

`h = 45 - 36`

`h = 9`

Hence, there are 9 hours left