Problema Solution
a vending machine contains 3.00 in nickels and dimes. if the number of dimes is 5 more than twice the number of nickels, how many coins of each type are there?
Answer provided by our tutors
1 nickle = 5 cents
1 dime = 10 cents
let
n = the number of nickles
d = the number of dimes
the number of dimes is 5 more than twice the number of nickels
d = 5 + 2n
a vending machine contains $3.00 = 300 cents in nickels and dimes
5n + 10d = 300
by solving the system of equations
d = 5 + 2n
5n + 10d = 300
we find
d = 25 dimes
n = 10 nickles
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