Problema Solution

jack has $4.80 in quarters dimes. he has a total of 30 coins. how many quarters and how many dimes does he have?

Answer provided by our tutors

1 quarter = 25 cents

1 dime = 10 cents

Let

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

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

Jack has 30 coins totaling $4.80 = 480 cents:

q + d = 30

25q + 10d = 480

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q = 12 quarters

d = 18 dimes

Jack has 12 quarters and 18 dimes.