SOLUTION: You have a 54 coins totalling $3.80 made up of dimes and nickels. How many dimes and nickels do you have? THANK YOU<

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Question 357426: You have a 54 coins totalling $3.80 made up of dimes and nickels. How many dimes and nickels do you have?
THANK YOU<

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
54 coins totaling $3.80
Let x be the number of nickels, then the number of dimes would be (54-x)
5x + 10(54-x)= 380
5x + 540 - 10x =380
540 - 380 = 5x
160= 5x
32 = x
We have 32 nickels
Checking the answer
5*32 + 10*22 = 160 + 220 = 380cents = $3.80