Problema Solution
Kaela has a collection of nickels, dimes, and quarters that amounts to $10.00. If there are 140 coins in all and there are twice as many dimes as there are quarters, find the number of nickels.
Answer provided by our tutors
1 nickle = 5 cents
1 dime = 10 cents
1 quarter = 25 cents
let
n = the number of nickles that Kaela has
d = the number of dimes that Kaela has
q = the number of quarter that Kaela has
Kaela has a collection of nickels, dimes, and quarters that amounts to $10.00 = 1000 cents
5n + 10d + 25q = 1000
there are 140 coins in all
n + d + q = 140
there are twice as many dimes as there are quarters
d = 2q
by solving the system of equations
5n + 10d + 25q = 1000
n + d + q = 140
d = 2q
we find
n = 110 nickles
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