Problema Solution
you have 24 coins all either nickels or dimes. the value of nickels is greater than dimes. at most how many dimes do you have
Answer provided by our tutors
1 nickel = 5 cents
1 dime = 10 cents
let
n = the number of nickels, n is integer, n>=0
d = the number of dimesm d is integer, d>=0
n + d = 24 => d = 24 - n
5n > 10d
lets plug n = 24 - d in the inequality
5(24 - d) > 10n
by solving the inequality we find
d < 8
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the biggest integer that is smaller then 8 is 7 thus at most, there are 7 dimes.