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?
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
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Expert Answer
Velsenw
Answered 2021-03-08
Author has 91 answers
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.
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.
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