Q:

at Redbox mike rents 2 DVD's and 3 games for total of $15.50. At the same time John rents 3 DVD's and 1 game for a total of $12.05. write a system of equations that represents this scenario. Clearly indicate what your variables represent in the context of this problem.

Accepted Solution

A:
D = DVDs G = Games Mike's formula 2D + 3G = 15.50 John's formula 3D + 1G = 12.05 If you multiple John by three and subtract from John you get the following. -7D = -20.55 This is the same as 7D = 20.55 D = 2.94 Plugging that into John's, you get 3(2.94) + 1G = 12.05 8.82 + G = 12.05 G = 3.23