SOLUTION: 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 oc

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Question 1050222: 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.
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
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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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

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.


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