Jamie and Raul both work at the Pizza House. Together, they work a total of 15 hours per week. Raul works 3 more than twice the hours as Jamie. How many hours does Jamie work per week?



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Answer:

Step-by-step explanation:

List the facts phrase by phrase.

Total = 15 hours

Let Raul's hours = x

Let Jamie's hours = y

Total = x + y = 15

x = 3 + 2y

From total, find x

x+ y = 15                    Subtract y from both sides.

x = 15 - y                   Put the value for x in x = 3+ 2y

3 + 2y = 15 - y           Subtract 3 from both sides

2y = 15 - 3-y            Combine

2y = 12 - y                Add y to both sides.

2y + y = 12                  Combine

3y = 12

y =  12 / 3

y = 4

Jamie worked 4 hours

Raul worked 11