document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #665801 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "A television weighs 50 pounds and a microwave weighs 30 pounds. A TV occupies 4 cubic feet and a microwave occupies 3 cubic feet.
\n" ); document.write( "A truck is carrying 1500 pounds of cargo that occupies 138 cubic feet of space.
\n" ); document.write( "Write and solve a systems of equation to represent this scenario.
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document.write( "50*t + 30*m = 1500,   (1)   (pounds)\r\n" );
document.write( " 4*t +  3*m = 138.    (2)   (cubic feet)\r\n" );
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document.write( "From (2), express 3m = 138 - 4t, and substitute it into (1). You will get\r\n" );
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document.write( "50t + 10*(138-4t) = 1500,  or\r\n" );
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document.write( "10t = 1500 - 1380  --->  10t = 1120  --->  t = 112 TVs.\r\n" );
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document.write( "From this point, find the number of microwaves on your own.\r\n" );
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