Problema Solution

carter has 37 coins, all nickeles and dimes in his piggy bank. the value of the coins is 3.10. how many dimes does carter have?

Answer provided by our tutors

1 dime = 10 cents

1 nickel = 5 cents

Let

d = the number of dimes, d>0, d is integer

n = the number of nickels, n>0, n is integer

Carter has 37 coins totaling $3.10 = 310 cents ($1 = 100 cents):

d + n = 37

10d + 5n = 310

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click here to see the equation solved for d and n

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d = 25 dimes

n = 12 nickels

There were 25 dimes and 12 nickles in the piggy bank.