Last week Jack worked 70 hours and earned $ 1,260. If he earned his regular hourly wage for the first 40 hours worked, 3/2 times his regular hourly wage for the next 20 hours worked, and 2 times his regular hourly wage for the remaining 10 hours worked, what was his regular hourly wage?

Respuesta :

Answer:

regular hourly wage is $14 per hour

Step-by-step explanation:

Let  x be the regular hourly wage

he earned his regular hourly wage for the first 40 hours worked

so its 40x

3/2 times his regular hourly wage for the next 20 hours worked

3/2 is 1.5. 1.5x for next 20 hours

So its 30x

2 times his regular hourly wage for the remaining 10 hours worked

2x times 10 is 20x

Now we add all the wages we got . total earned is 1260

[tex]40x+30x+20x=1260[/tex]

[tex]90x=1260[/tex]

divide both sides by 90

x= 14

So regular hourly wage is $14 per hour