Question

Ken Santos is a tour guide at the art museum and earns $11 an hour with time and a half for overtime. Last week he worked 40 hours plus overtime. If his total pay was $506, how many overtime hours did Ken work?

Answer 1

11 bucks an hr for 40 hrs = 440......506 - 440 = 66 bucks in overtime pay
11 * 1.5 = 16.5 ...this is his overtime pay per hr
66/16.5 = 4 <== he worked 4 hrs overtime

Answer 2

4 hours of overtime.

Explanation:

Let x represent number of overtime hours.

We have been given that Ken gets 1 and half times the pay for overtime, that is
`1.5*\$11=\$16.5` per hour of overtime.

Earnings from x hours of overtime would be
`16.5x`.

We have been given that Ken Santos is a tour guide at the art museum and earns $11 an hour with time and a half for overtime. Last week he worked 40 hours plus overtime.

`\text{Earnings from 40 hours}=40* \$11`

`\text{Earnings from 40 hours}=\$440`

We are told that last month Ken's total pay was $506. We can represent this information in an equation as:

`16.5x+440=506`

`16.5x+440-440=506-440`

`16.5x=66`

`(16.5x)/(16.5)=(66)/(16.5)`

`x=4`

Therefore, Ken did 4 hours of overtime.