SOLUTION: Colin has a jar containing only 5-cent and 20-cent coins. In total, there are 31 coins with a total value of $3.50. How many of each type coin does Colin have?

Question 1058259: Colin has a jar containing only 5-cent and 20-cent coins. In total, there are 31 coins with a total value of $3.50. How many of each type coin does Colin have?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Assign each coin count its own variable.
Account for the number of coins.
Account for the amount of dollars.
Solve the two simultaneous equations.

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Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Colin has a jar containing only 5-cent and 20-cent coins. In total, there are 31 coins with a total value of $3.50. How many of each type coin does Colin have?

Let number of 5-cent coins be F
Then number of 20-cent coins is: 31 - F
We then get the following VALUE equation: .05F + .2(31 - F) = 3.5
Solve this for F, the number of 5-cent coins.
Subtract value of F from 31 to get number of 20-cent coins.
Note that the value of F MUST be an integer.
It's as simple as that...nothing COMPLEX!!
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