Problema Solution
The total value of the quarters and dimes in a coin bank is $7.25. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $8.15. Find the number of quarters in the bank.
Answer provided by our tutors
1 quarter = 25 cents = $0.25
1 dime = 20 cents = $0.10
let
q = the number of quarters
d = the number of dimes
total value of the quarters and dimes in a coin bank is $7.25
0.25q + 0.10d = 7.25
if the quarters were dimes and the dimes were quarters, the total value of the coins would be $8.15
0.25d + 0.10q = 8.15
by solving the system of equations
0.25q + 0.10d = 7.25
0.25d + 0.10q = 8.15
we find
q = 19 quarters
d = 25 dimes
click here to see the step by stpe solution of the system of equations
the bank has 19 quarters.