SOLUTION: The total value of the quarters and dimes in a coin bank is $8.90. If the quarters were dimes and the
dimes were quarters, the total value of the coins would be $8.60. Find the n
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Question 720582: The total value of the quarters and dimes in a coin bank is $8.90. If the quarters were dimes and the
dimes were quarters, the total value of the coins would be $8.60. Find the number of quarters in the
bank.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of dimes
Let = the number of quarters
given:
(1) ( in cents )
(2)
-----------------------
Rewrite the equations
(1)
(2)
---------------------
Multiply both sides of (1) by
and both sides of (2)
by then subtract (2) from (1)
------------------------------
(1)
(2)
and
(1)
(1)
(1)
(1)
(1)
The number of dimes in the bank is 24
The number of quarters in the bank is 26
check:
(2)
(2)
(2)
(2)
OK
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