SOLUTION: Ava has 52 coins. The value of her coins (only dimes and nickels) is $4.15. Find the number of nickels and the number of dimes.

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Question 808297: Ava has 52 coins. The value of her coins (only dimes and nickels) is $4.15. Find the number of nickels and the number of dimes.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number of nickels
Let = number of dimes
--------------
(1) ( in cents )
(2)
-----------------
Multiply both sides of (2) by and
subtract (2) from (1)
(1)
(2)


and, since
(2)
(2)
-------------
There are 21 nickels and 31 dimes
check:
(1)
(1)
(1)
OK


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