SOLUTION: The total value of quarters and dimes in a coin bank is $6.90. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.80. a) set up a sy

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Question 1141885: The total value of quarters and dimes in a coin bank is $6.90. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.80.
a) set up a system if equations to represent the situation.
b) find the number of quarters in the bank.

Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the actual number of dimes
Let = the actual number of quarters
-------------------------------------------------
(1) ( in cents )
(2) ( in cents )
-------------------------------------------------
(2)
-----------------------------
Multiply both sides of (2) by
(1)
(2)
----------------------------------


Plug this result back into (1) or (2)
(2)
(2)
(2)
(2)
-----------------------------------------
There are 18 quarters in the bank
-----------------------------------------
check:
(2)
(2)
(2)
OK
You can check (1)

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
duplicate

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