Question

Manuel job pays $11.50 per hour for a 40-hour work week.If Manuel works over forty hours,he earns 1 1/2 times his hourly pay for each extra hour worked.How much is Manuel paid by his employer if he works 46 hours in one week?

Answer 1

Manuel gets paid $563.50 for working 46 hours in a week.

Solution:

Given that,

Manuel job pays $11.50 per hour for a 40-hour work week

1 hour = $ 11.50

Then for 40 hour work,

40 hour = $ 11.50 x 40 = $ 460

So he earns $460 for the 40 hour work in week

Manuel works over forty hours, he earns
`1(1)/(2)` times his hourly pay for each extra hour worked

To find: Amount earned by Manuel if he works 46 hours in 1 week

For first 40 hours, he will get $ 460

Calculate for remaining 6 hours (46 - 40 = 6 hours )

He earns
`1(1)/(2)` times his hourly pay for each extra hour worked

We know that,

1 hour = $ 11.50

Amount earned for extra 6 hours =
`6 * 1(1)/(2) * 11.50 = 6 * (3)/(2) * 11.50 \\\\`

`\rightarrow 6 * 17.25 = 103.5`

Thus he earned $ 103.5 for 6 hours

Total amount earned = amount earned for first 40 hours + amount earned for 6 hours

Total amount earned = $ 460 + $ 103.5 = 563.5

So he gets paid $563.50 for working 46 hours in a week.