SOLUTION: a stamp collector has 12c stamp and 17c stamp with a total face value of $15.53. the number of 12c stamps is three more than twice the number of 17c stamps. how many of each type a

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Question 247555: a stamp collector has 12c stamp and 17c stamp with a total face value of $15.53. the number of 12c stamps is three more than twice the number of 17c stamps. how many of each type are in collection.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of .12 stamps
Let y be the number of .17 stamps.
x=2y+3
.12x+.17y=15.53 replace x with (2y+3) & solve for y.
.12(2y+3)+.17y=15.53
.24y+.36+.17y=15.53
.41y=15.53-.36
.41y=15.17
y=15.17/.41
y=37 ans. for the number of .17 stamps.
x=2*37+3
x=74+3=77 ans. for the number of .12 stamps.
Proof:
.12*77+.17*37=15.53
9.24+6.29=15.53
15.53=15.53