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

Answer:

His pay for 4 hours of work is $106.67.

Step-by-step 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

$3x = 8$

$x = \frac{8}{3}$

So for $\frac{8}{3}$ hours he makes the full pay($30) and for $4 - \frac{8}{3} = \frac{12}{3} - \frac{8}{3} = \frac{4}{3}$ he makes reduced pay($20).

Calculate his pay for 4 hours of work

$30*\frac{8}{3} + 20*\frac{4}{3} = 106.67$

His pay for 4 hours of work is $106.67.