SOLUTION: I have 50 coins in a jar (quarters, dimes, and nickels only) that are worth $5.00. I have three times as many nickels as quarters. THe number of dimes is 1 more than the number of

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Question 356263: I have 50 coins in a jar (quarters, dimes, and nickels only) that are worth $5.00. I have three times as many nickels as quarters. THe number of dimes is 1 more than the number of nickels. How many of each type of coin do I have i my jar?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
.
Let n be the number of nickels. then n/3 is the number of quarters and (n+1) the number of dimes.
.
5n + 10(n + 1) + 25n/3 = 500 cents
.
15n + 30(n + 1) + 25n = 1500 cents
.
70n = 1470
n = 21
dimes = 22
quarters = 7
.
ccheck your answer
21 + 22 + 7 = 50 coins