SOLUTION: A piggy bank contains 18 coins, all quarters and dimes. Find the number of each types of coins if the value of the coins is $2.40

Question 1048618: A piggy bank contains 18 coins, all quarters and dimes. Find the number of each types of coins if the value of the coins is $2.40
Found 2 solutions by josmiceli, solver91311:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of quarters
Let = number of dimes
--------------------------------
(1)
(2) ( in cents )
----------------------------------
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
----------------------

and
(1)
(1)
(1)
--------------------
There are 4 quarters and 14 dimes
----------------------------------
check:
(2)
(2)
(2)
(2)
OK
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the number of quarters. Then must be the number of dimes. There are cents in quarters. There are cents in dimes. $2.40 is 240 cents.

Solve for then calculate

John

My calculator said it, I believe it, that settles it

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