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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

Respuesta :

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

[tex]3x = 8[/tex]

[tex]x = \frac{8}{3}[/tex]

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

Calculate his pay for 4 hours of work

[tex]30*\frac{8}{3} + 20*\frac{4}{3} = 106.67[/tex]

His pay for 4 hours of work is $106.67.