Problema Solution
Mike has $1.55 in nickels and dimes. He has 7 more nickels then dimes. Find the number of each kind of coin. Let n = number of nickels and d = number of dimes.
Answer provided by our tutors
1 nickle = 5 cents
1 dime = 10 cents
let
n = the number of nickels, n>0, n is integer
d = the number of dimes, d>0, d is integer
Mike has $1.55 = 155 cents in nickels and dimes:
5n + 10d = 155 divide both sides by 5
n + 2d = 31
He has 7 more nickels then dimes:
n = d + 7
by solving the system of equations
n + 2d = 31
n = d + 7
we find
n = 15 nickles
d = 8 dimes
click here to see the step by step solution of the system of equations
Mike has 15 nickles and 8 dimes.