Problema Solution
Jenny received $6.10 in tips one afternoon. All of her tips were in quarters, dimes and nickels. There were five less dimes than quarters and seven less nickels than dimes. How many of each kind of coin was there?
Answer provided by our tutors
1 nickle = 5 cents = $0.05
1 dime = 10 cents = $0.1
1 quarter = 25 cents = $0.25
let
n = the number of nickles
d = the number of dimes
q = the number of quarters
there were five less dimes than quarters
q - d = 5
seven less nickels than dimes
d - n =7
Jenny received $6.10 in tips
0.05n + 0.1d + 0.25q = 6.10
by solving the system of 3 equations
q - d = 5
d - n =7
0.05n + 0.1d + 0.25q = 6.10
we find
n = 6 dimes
d = 13 nickles
q = 18 quarters
There are 6 nickels, 13 dimes, and 18 quarters.