Problema Solution

tran has a coin jar that contains nickels, dimes, and quarters. there are 181 coins in the jar. there are 2 more dimes than quarters. if the total value of the coins in the jar is $24.65, how many quarters does the jar contain?

Answer provided by our tutors

1 nickel = 5 cents

1 dime = 10 cents

1 quarter = 25 cents

Let

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

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

q = the number of quarters, q is integer, q>=0

n + d + q = 181

d = q + 2

5n + 10d + 25q = 2465

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click here to see the system of equations solved for n, d and q

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n = 55 nickles

d = 64 dimes

q = 62 quarters

There are 62 quarters in the jar.