SOLUTION: Alycia opens her piggy bank to find only nickels and quarters inside. She counts the coins and finds that she has 72 coins totaling ​$11.60. How many nickels were in the piggy​

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Question 1134000: Alycia opens her piggy bank to find only nickels and quarters inside. She counts the coins and finds that she has 72 coins totaling ​$11.60. How many nickels were in the piggy​ bank, and how many quarters were in​ there?
Found 2 solutions by Glaviolette, josmiceli:
Answer by Glaviolette(140)   (Show Source): You can put this solution on YOUR website!
I set up a system of equations using n to represent the number of nickels and q represents the number of quarters. I then used substitution to solve.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the number of nickels
Let = the number of quarters
--------------------------------------------
(1)
(2) ( in cents )
--------------------------------------------
(2)
Subtract (1) from (2)


and
(1)
(1)
----------------------------
There were 32 nickels and 40 quarters
---------------------------------------------
check:
(2)
(2)
OK

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