Problema Solution
the toll collector had 70 coins totaling $13.60. the coins were quarters and dimes. how many of each coin did the toll collector 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
The toll collector had 70 coins totaling $13.60 = 1360 cents:
q + d = 70
25q + 10d = 1360
........
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q = 26 quarters
d = 44 dimes
The toll collector had 26 quarters and 44 dimes.