SOLUTION: The total value of the nickels and dimes in a coin bank is $2.50. if the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.05. find the number

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: The total value of the nickels and dimes in a coin bank is $2.50. if the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.05. find the number      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 958384: The total value of the nickels and dimes in a coin bank is $2.50. if the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.05. find the number of dimes and the number of nickeles in the bank.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n+ = number of nickels
Le +d+ = number of dimes
----------------------------
(1) +5n+%2B+10d+=+250+ ( in cents )
(2) +10n+%2B+5d+=+305+
Multiply both sides of (1) by 2 and
subtract (2) from (1)
(1) +10n+%2B+20d+=+500+
(2) +-10n+-+5d+=+-305+
------------------------
+15d+=+195+
+d+=+13+
and
(1) +5n+%2B+10%2A13+=+250+
(1) +5n+%2B+130=+250+
(1) +5n+=+120+
(1) +n+=+24+
-----------------
There are 24 nickels and 13 dimes
check:
(2) +10%2A24+%2B+5%2A13+=+305+
(2) +240+%2B+65+=+305+
(2) +305+=+305+
OK