Question

three friends went to a restraunt and ordered two orders of wings and three soft drinks. their bill totaled $22.50. later that day, five friends went to the same restraunt and ordered three orders of wings and a soft drink each. their bill totaled $34.50. write and solve a system of equations to determine the price of one order of wings.

Answer 1

$9

Explanation:

Let the price of one order of wings be w.

Let the price for one order of soft drinks be s.

Three friends went to a restaurant and ordered two orders of wings and three soft drinks. Their bill totaled $22.50. This means that:

2w + 3s = 22.50 _____________(1)

Five friends went to the same restaurant and ordered three orders of wings and a soft drink each. Their bill totaled $34.50. This means that:

3w + 5s = 34.50 ______________(2)

We have a system of quadratic equations:

2w + 3s = 22.50 _____________(1)

3w + 5s = 34.50 ______________(2)

Multiply (1) by 5 and (2) by 3:

10w + 15s = 112.50 _______(3)

9w + 15s = 103.50 _______(4)

Subtract (4) from (3):

w = $9

Therefore, the price of one order of wings is $9.