Problema Solution

If Rachael has 3 more dimes than quarters and they have a combined value of 275 cents, how many of each coin does she have?

Answer provided by our tutors

1 dime = 10 cents


1 quarter = 25 cents


let


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


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


Rachael has 3 more dimes than quarters and they have a combined value of 275 cents:


d = 3 + q


10d + 25q = 275


by solving the above system of equations we find:


d = 10 dimes


q = 7 quarters


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Rachael has 10 dimes and 7 quarters.