SOLUTION: The total value of the quarters and dimes in a coin bank is $5.20. If the quarters were dimes and dimes were quarters, the total value of the coins would be $4.60. How many quarter

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: The total value of the quarters and dimes in a coin bank is $5.20. If the quarters were dimes and dimes were quarters, the total value of the coins would be $4.60. How many quarter      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 575755: The total value of the quarters and dimes in a coin bank is $5.20. If the quarters were dimes and dimes were quarters, the total value of the coins would be $4.60. How many quarters are in the bank?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The total value of the quarters and dimes in a coin bank is $5.20. If the quarters were dimes and dimes were quarters, the total value of the coins would be $4.60. How many quarters are in the bank?
**
let x=number of quarters
let y= number of dimes
..
.25x+.10y=5.20
.10x+.25y=4.60
..
25x+10y=520
10x+25y=460
..
50x+20y=1040
50x+125y=2300
105y=1260
y=12
25x=520-10y=520-120=400
x=400/25=16
ans:
Number of quarters in the bank=16