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A television weighs 50 pounds and a microwave weighs 30 pounds. A TV occupies 4 cubic feet and a microwave occupies 3 cubic feet.
A truck is carrying 1500 pounds of cargo that occupies 138 cubic feet of space.
Write and solve a systems of equation to represent this scenario.
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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.
