 # He spent a total of $112 on 14 music purchases. one Music CDs were on sale for$10 and cassettes were on sale for $3. How much did Andrew pay for each music CD and each cassette tape? Elleanor Mckenzie 2021-03-07 Answered He spent a total of$112 on 14 music purchases. one Music CDs were on sale for $10 and cassettes were on sale for$3. How much did Andrew pay for each music CD and each cassette tape?
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M = Music CDs
C = cassettes
Create two equations, one for the number of music purchases he made (14) and one for the price of the music purchases ($112) M + C = 14 ( this is the number of music purchases he made) 10M + 3C = 112 ( this is the price of the music purchases) Isolate a variable, I isolated M M + C = 14 M = 14 - C Subsitute that variable into the other equation 10 M + 3C = 112 10(14-C) + 3C = 112 ( substitute our previous equation into M) 140 - 10C + 3C = 112 -10C + 3C = -28 -7C = -28 C = 4 Plug C back into either equation, I chose the simpler one M + C = 14 M + (4) = 14 M = 10 Since he bought 4 cassettes for$3 dollars each 4($3) =$12 worth of cassettes.
Since he bought 10 Music CDs for $10 dollars each 10($10) = \$100 worth of cassettes.