SOLUTION: Corey goes to the bank to get $20.00 in quarters, dimes, and nickels to use to make change at his yard sale. He gets twice as many quarters as dimes and 10 more nickels than dimes.
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Question 357513: Corey goes to the bank to get $20.00 in quarters, dimes, and nickels to use to make change at his yard sale. He gets twice as many quarters as dimes and 10 more nickels than dimes. How many of each type of coin does he get? Answer by ewatrrr(24785) (Show Source):
Hi,
Let x be the number of dimes. then # of quarters would be 2x and
# of nickels would be (x+10)
5(x+10) + 10x + 25*2x = 2000cents
Simplify and Solve
5x + 50 + 10x + 50x = 2000 cents
65x = 1950
x = 1950/65
x = 30
Corey has 30 dimes, 60 quarters and 40 nickels
checking the nswer
5*40 + 10*30 + 25*60 = 200 + 300+ 1500 = 2000cents
