Question

A television weighs 50 pounds and a microwave

weighs 30 pounds. A TV occupies 4 cubic feet
and microwave occupies 3 cubic feet. A truck is
carrying 1500 pounds of cargo that occupies 138
cubic feet of space. Which system of equations
can be used to find the total number of
televisions, t, and microwaves, m, that are in the
truck?

Answer 1

Step-50*t + 30*m = 1500, (1) (pounds)

4*t + 3*m = 138. (2) (cubic feet)

From (2), express 3m = 138 - 4t, and substitute it into (1). You will get

50t + 10*(138-4t) = 1500, or

10t = 1500 - 1380 ---> 10t = 1120 ---> t = 112 TVs.

From this point, find the number of microwaves on your own.

step by-step explanation: