Question 1040717: A collection of stamps consist of 3¢ stamps, 7¢ stamps, and 12 ¢ stamps. The number of 3 ¢ stamps is five less than the number of 7 ¢ stamps. The number of 12 ¢ stamps is one-half the number of 7 ¢ stamps. The total value of all the stamps is $2.73. Find the number of each type of stamp in the collection.
Found 4 solutions by stanbon, josmiceli, ikleyn, MathTherapy:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A collection of stamps consist of 3¢ stamps, 7¢ stamps, and 12 ¢ stamps.
The number of 3 ¢ stamps is five less than the number of 7 ¢ stamps.
t = s - 7
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The number of 12 ¢ stamps is one-half the number of 7 ¢ stamps.
w = (1/2)s
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The total value of all the stamps is $2.73.
t + s + w = 273
Find the number of each type of stamp in the collection.
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Substitute for "t" and for "w" and solve for "s"::
s-7 + s + (1/2)s = 273
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(5/2)s = 280
s = 2*56
s = 112
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t = s-7 = 105
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w + s/2 = 56
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Cheers,
Stan H.
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Answer by josmiceli(19441)  (Show Source):
Answer by ikleyn(52787)  (Show Source):
You can put this solution on YOUR website! .
I confirm the solution by the tutor "josmiceli"
The number of 3 cent stamps is 13
The number of 7 cent stamps is 18
The number of 12 cent stamps is 9
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
A collection of stamps consist of 3¢ stamps, 7¢ stamps, and 12 ¢ stamps. The number of 3 ¢ stamps is five less than the number of 7 ¢ stamps. The number of 12 ¢ stamps is one-half the number of 7 ¢ stamps. The total value of all the stamps is $2.73. Find the number of each type of stamp in the collection.
Are you serious, Stanbon? You "gotta" be kidding me!! Do you really tutor?
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