SOLUTION: The value of 92 stampsis $14. There are all 10cent and 25cent stamps. Find the number of 10cent stamps.

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Question 343625: The value of 92 stampsis $14. There are all 10cent and 25cent stamps. Find the number of 10cent stamps.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the number of 10 cent stamps. Then the value of the 10 cent stamps is cents. Let represent the number of 25 cent stamps. Then the value of the 25 cent stamps is cents. For the sake of avoiding decimal fraction coefficients, let $14.00 be represented by 1400 cents.

There are 92 stamps, so:



Which can also be written:



The value of all the stamps is given by:



But we can substitute from the earlier relationship:



Solve for to get the number of quarters. The number of dimes follows directly.

John

My calculator said it, I believe it, that settles it
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