SOLUTION: At a local music store, single recording tapes cost $6.99 and concert tapes cost $10.99. At the end of the day a total of 25 tapes were sold. if the sales for the day total $230.75

Question 1019145: At a local music store, single recording tapes cost $6.99 and concert tapes cost $10.99. At the end of the day a total of 25 tapes were sold. if the sales for the day total $230.75 for single recording tapes and concert tapes, find the number of each type of tape sold.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make single recording tapes = 'x'
Concert tapes = 'y'
x + y = 25 ........(1)
699x + 1099y = 23075.....(2)
Multiply (1) by 699
699x + 699y = 17475.....(1)
699x + 1099y = 23075....(2)
Subtract (1) from (2)
......400y = 5600
.........y = 14
Substitute y = 14 into (1)
x + y = 25 .......(1)
x + 14 = 25
x = 25 - 14
x = 11
11 x single recording tapes
14 x concert tapes
Hope this helps :-)

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