SOLUTION: One Week, a store sold 190 TV's and DVR's for $360 and $270 each respectively. The total revenue received from selling these items was $61,200. Define the variables and set up

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One Week, a store sold 190 TV's and DVR's for $360 and $270 each respectively. The total revenue received from selling these items was $61,200. Define the variables and set up       Log On


   

Question 1021628: One Week, a store sold 190 TV's and DVR's for $360 and $270 each respectively. The total revenue received from selling these items was $61,200.
Define the variables and set up a system of linear equations from the above information to determine how many TV's and DVR's were sold
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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T=number of TVs; D=number of DVRs
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T+D=190
T=190-D Use this to substitute for T below.
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$360T+$270D=$61200 Substitute for T from above.
$360(190-D)+$270D=$61200
$68400-$360D+$270=$61200
-$90D=-$7200
D=80
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T=190-D=190-80=110
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ANSWER: 80 DVRs and 110 TVs were sold.
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CHECK:
$360T+$270D=$61200
$360(110)+$270(80)=$61200
$39600+$21600=$61200
$61200=$61200
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