SOLUTION: The total value of the quarters and dimes in a coin bank is $6.95. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.40. Find the num

Algebra.Com
Question 1017064: The total value of the quarters and dimes in a coin bank is $6.95. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.40. Find the number of quarters in the bank.
Answer by ikleyn(53763)   (Show Source): You can put this solution on YOUR website!
.
The total value of the quarters and dimes in a coin bank is $6.95. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.40. Find the number of quarters in the bank.
------------------------------------------------------------- 

10d + 25q = 695,     (1)
25d + 10q = 740.     (2)

Multiply (1) by 5 and multiply (2) by (-2), then add. You will get

125q - 20q = 5*695 - 2*740,    or

105q = 1995.

Hence, q =  = 19 quarters.

Please complete the solution yourself.


RELATED QUESTIONS

The total value of the quarters and dimes in a coin bank is $5.20. If the quarters were... (answered by lwsshak3)
A coin bank contains dimes and quarters. The total value of the coins is $10.40. If the... (answered by stanbon)
The total value of the nickels, dimes, and quarters in a coin bank is $4. If the nickels... (answered by stanbon)
question #16 the total value of the dimes and quarters in a coin bank is $3.70. if the (answered by drj)
A coin bank contains only dimes and quarters. The ToTal value of The coins in The bank is (answered by mananth)
The total value of quarters and dimes in a coin bank is $6.90. If the quarters were dimes (answered by josgarithmetic)
The total value of quarters and dimes in a coin bank is $6.90. If the quarters were dimes (answered by Theo,josgarithmetic)
The total value of quarters and dimes in a coin bank is $6.90. If the quarters were dimes (answered by josmiceli,josgarithmetic)
The total value of quarters and dimes in a coin bank is $6.90. If the quarters were... (answered by josmiceli,ikleyn,Alan3354)
The total value of the quarters and dimes in a coin bank is $8.00. If the quarters were... (answered by drj)