Question

Alex is paid $30/hr at full rate, and $20/hr at a reduced rate. The hours of work are paid at a ratio of 2:1, full rate : reduced rate. For example, if he worked 3 hours, he would be paid 2 hours at full rate and 1 hour at reduced rate. Calculate his pay for 4 hours of work

Answer 1

His pay for 4 hours of work is $106.67.

Explanation:

2:1, full rate : reduced rate.

This means that for each 2+1 = 3 hours that he works, 2 he has full pay and 1 he has reduced pay.

4 hours

How much are full pay?

For each 3, 2 are full pay. For four?

3 hours - 2 full pay

4 hours - x full pay

`3x = 8`

`x = (8)/(3)`

So for
`(8)/(3)` hours he makes the full pay($30) and for
`4 - (8)/(3) = (12)/(3) - (8)/(3) = (4)/(3)` he makes reduced pay($20).

Calculate his pay for 4 hours of work

`30*(8)/(3) + 20*(4)/(3) = 106.67`

His pay for 4 hours of work is $106.67.