SOLUTION: Joe has a collection of nickels and dimes that is worth $2.10. If the number of dimes was tripled and the number of nickels was increased by 24, the value of the coins would be $6.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Joe has a collection of nickels and dimes that is worth $2.10. If the number of dimes was tripled and the number of nickels was increased by 24, the value of the coins would be $6.      Log On


   



Question 387730: Joe has a collection of nickels and dimes that is worth $2.10. If the number of dimes was tripled and the number of nickels was increased by 24, the value of the coins would be $6.30. How many nickels and dimes does he have?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let n=number of nickels and d=number of dimes.
.05n+.1d=2.10
.
.05(n+24)+.1*3d=6.30
.05n+1.2+.3d=630
.05n+.3d=5.10
.
.05n+.3d=5.10
.05n+.1d=2.10
----------------subtract
===>.2d=3.00
.
d=15
n=12
.
Ed