SOLUTION: Mike bought 2 worth of stamps. He bought four more 2 cents stamps than 10 cents stamps. He bought twice as many 6 cents stamps as 2 cents stamps. How many of each kind did he buy?
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Question 664280: Mike bought 2 worth of stamps. He bought four more 2 cents stamps than 10 cents stamps. He bought twice as many 6 cents stamps as 2 cents stamps. How many of each kind did he buy? Answer by ReadingBoosters(3246) (Show Source):
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Establish variables
x = 2 cent stamp
y = 10 cent stamp
z = 6 cent stamp
..
Given
.02x+.1y+.06z=2
x = y+4, which is the same as y = x-4
z = 2x
...
Substitute y and z into the first equation
.02x + .1(x-4) + .06(2x) = 2
.02x + .1x - .4 + .12x = 2
.24x = 2 + .4
.24x = 2.4
x = 10 stamps of $.02
y = 10-4 = 6 stamps of $.10
x = 2(10) = 20 stamps of $.06
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