SOLUTION: A collection of nickels, dimes, and quarters consists of 13 coins with a total value of $1.50. If the number of dimes is equal to the number of nickels, find the number of each typ
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Question 798210: A collection of nickels, dimes, and quarters consists of 13 coins with a total value of $1.50. If the number of dimes is equal to the number of nickels, find the number of each type of coin.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of nickels
Let = number of dimes
Let = number of quarters
----------------------------
(1)
(2) ( in cents )
(3)
----------------
This is 3 equations and 3 unknowns,
so it's solvable
Substitute (3) into both (1) and (2)
(1)
(2)
---------------------------
(1)
(2)
multiply both sides of (1) by
and subtract (2) from (1)
(1)
(2)
and, since
(3)
and
(1)
(1)
(1)
There are 5 nickels
There are 5 dimes
There are 3 quarters
check:
(2)
(2)
(2)
OK
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