Question

Nick worked 16 hours last week. He earned $5 per hour at a local restaurant and $5.50 per hour at a grocery store. If he earned a total of $82, how many hours did he work at the grocery store?

Answer 1

4 hours in the grocery store

Explanation:

x for restaurant, y for grocery store

`\left \{ {{5x+5.5y=82} \atop {x+y=16}} \right.`

`\left \{ {{5x+5.5y=82} \atop {x=16-y}} \right.`

Substitute.

- 5y + 5.5y + 80 = 82

0.5y = 2

y = 4

x + 4 = 16

x = 12