SOLUTION: In Tom�s pocket, there are four times as many quarters as nickels but there are not enough nickels to make change for a quarter. 15 more than the square of the number of nickels is

Question 1081797: In Tom�s pocket, there are four times as many quarters as nickels but there are not enough nickels to make change for a quarter. 15 more than the square of the number of nickels is equal to 8 times the number of nickels. If there are no other coins in Tom�s pocket, what is the total value of these coins.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let n be the number of nickels in Tom's pocket. Then:
n�+15=8n
n�-8n+15=0
(n-5)(n-3)=0
n=5 or 3
We know there's not enough nickels to make a quarter, so there must be 3 nickels.
There are 4 times as many quarters as nickels, so there are 12 quarters--bringing the change up to a total of $3.15 ☺☺☺☺
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