Question

A restaurant hired 16 servers for one banquet. They pay a

full-time server $22.00 per hour and a part-time server
$16.50 per hour. If the labour cost of the restaurant was
$308.00 per hour, how many full-time and part-time
servers were there for the banquet?

Answer 1

8 full-time and 8-part time

Explanation:

We can set up a system of equations and let F represent the number of full-time servers and P represent the number of part-time servers.

Using the given information, we have:

`F+P=16\\22F+16.50P=308\\\\F=16-P\\\\22(16-P)+16.50P=308\\352-22P+16.50P=308\\-22P+16.50P=-44\\-5.50P=-44\\P=8\\\\F+8=16\\F=8`