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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?

Respuesta :

texaschic101
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:

4 hours of overtime.

Step-by-step 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 [tex]1.5\times\$11=\$16.5[/tex] per hour of overtime.

Earnings from x hours of overtime would be [tex]16.5x[/tex].

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.

[tex]\text{Earnings from 40 hours}=40\times \$11[/tex]

[tex]\text{Earnings from 40 hours}=\$440[/tex]

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

[tex]16.5x+440=506[/tex]

[tex]16.5x+440-440=506-440[/tex]

[tex]16.5x=66[/tex]

[tex]\frac{16.5x}{16.5}=\frac{66}{16.5}[/tex]

[tex]x=4[/tex]

Therefore, Ken did 4 hours of overtime.

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