Question 1062681: I have 59 coins that include pennies, nickels, dimes, and quarters. There are twice as many dimes as nickels and 3 times as many quarters as dimes. The total value of the coins is $7.23. How many of each kind of coin do I have?
Answer by jorel555(1290)   (Show Source):
You can put this solution on YOUR website! Let n be nickels, and p be pennies. Then dimes are 2n, and quarters are 3(2n), or 6n. So:
p+n+2n+6n=p+9n=59
p+5n+10(2n)+25(6n)=p+175n=723
p+175n=723
p+9n=59
166n=664
n=4
2n=8
6n=24
p=23
You have 23 pennies, 4 nickels, 8 dimes, and 24 quarters. ☺☺☺☺
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