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

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) (Show Source): You can put this solution on YOUR website!
.
T=number of TVs; D=number of DVRs
.
T+D=190
T=190-D Use this to substitute for T below.
.
$360T+$270D=$61200 Substitute for T from above.
$360(190-D)+$270D=$61200
$68400-$360D+$270=$61200
-$90D=-$7200
D=80
.
T=190-D=190-80=110
.
ANSWER: 80 DVRs and 110 TVs were sold.
.
CHECK:
$360T+$270D=$61200
$360(110)+$270(80)=$61200
$39600+$21600=$61200
$61200=$61200
.

RELATED QUESTIONS
A store sells televisions for $360 and digital video recorders for $270. At the beginning (answered by greenestamps)

I need help on one last problem. Just can't get it set up right. A store sells... (answered by mukhopadhyay)

Serenity currently sells televisions for Walter's TV Store at a salary of $16,000 plus a... (answered by ikleyn)

One week a computer store sold a total of 36 computers and external hard drives. The... (answered by addingup)

A local radio station is selling airtime spots to advertisers for the upcoming week. The... (answered by math_tutor2020)

Market research has shown that at a price of $230, 100 number of plasma TV�s are sold... (answered by lwsshak3)

A milk tea store sells 500 cups per week when it charges Php 80 per cup. It sells 25 cups (answered by Boreal)

A salesperson works in the TV ans stereo department of an electronics store. One day she... (answered by stanbon,lwsshak3)

Smart TVs have seen success in the United States market. During the 2nd quarter of 2015... (answered by ikleyn)