Question 656237: In your pocket, you have a handful of change in nickels, dimes, and quarters that totals $3.10. There are four more dimes than nickels, and three times as many quarters as nickels. Find the number of each type of coin.
Answer by htmentor(1343)   (Show Source):
You can put this solution on YOUR website! In your pocket, you have a handful of change in nickels, dimes, and quarters that totals $3.10. There are four more dimes than nickels, and three times as many quarters as nickels. Find the number of each type of coin.
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Let d = the number of dimes
Let n = the number of nickels
Then the number of quarters = 3n
We can write the following equation for the total amount:
5n + 10d + 25(3n) = 310
Given: four more dimes than nickels -> d = n+4
5n + 10(n+4) + 75n = 310
Solve for n:
5n + 10n + 40 + 75n = 310
90n = 270
n = 3
So the number of nickels = 3
The number of dimes = 3+4 = 7
The number of quarters = 3*3 = 9
Check:
3*5 + 7*10 + 9*25 = 310
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