SOLUTION: A coin bank contains only nickels and dimes. The total value of the coins in the bank is $2.45. If the nickels were dimes and the dimes were nickels, the total value of the coins w
Algebra.Com
Question 521094: A coin bank contains only nickels and dimes. The total value of the coins in the bank is $2.45. If the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.10. Find the number of nickels in the bank.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of nickels
Let = number of dimes
If the nickels were dimes and the dimes
were nickels, then changes to
and changes to
given:
(1) ( in cents )
(2)
Multiply both sides of (1) by
and subtract (2) from (1)
(1)
(2)
and, since
(1)
(1)
(1)
(1)
(1)
There are 25 nickels in the bank
check:
(2)
(2)
(2)
(2)
OK
RELATED QUESTIONS
a coin bank contains only nickels and dimes. The total value of the coins in the bank is... (answered by edjones)
a coin bank contains only nickels and dimes. The total value of the coins in the bank is... (answered by richwmiller)
A coin bank contains only nickels and dimes. The total value of the coins in the bank is... (answered by ikleyn)
A coin bank contains only nickels and dimes. The total value of the coins in the bank is... (answered by ikleyn)
A coin bank contains only dimes and nickels. The bank contains 46 coins. If 5 dimes and 2 (answered by Alan3354)
A coin bank contains only nickels and dimes. The bank contains 46 coins. If 5 dimes and 2 (answered by ReadingBoosters)
Please HELP!!!!
Peter Parker has a piggy that bank contains only nickels and dimes.... (answered by ankor@dixie-net.com)
The total value of the nickels, dimes, and quarters in a coin bank is $4. If the nickels... (answered by stanbon)
A coin bank contains only dimes and nickels. The bank has 46 coins.
If 5 dimes and 2... (answered by richwmiller)