Problema Solution

Dannon has $10.80 in dimes and quarters. If Dannon has 32 more quarters than dimes, how many dimes does he have?

Answer provided by our tutors

1 quarter= 25 cents

1 dime = 10 cents


let


q = the number of nickels

d = the number of dimes


Dannon has $10.80 = 1080 cents in dimes and quarters


10d + 25q = 1080


Dannon has 32 more quarters than dimes


q = d + 32


by solving the system of equations


10d + 25q = 1080

q = d + 32


we find


d = 8 dimes


q = 40 quarters


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Dannon has 8 dimes.