SOLUTION: Ethan has been saving quarters, loonies and toonies in his coin bank for a long time. No other types of coins are in his bank. One third of the coins in the bank are quarters and o

Question 1160888: Ethan has been saving quarters, loonies and toonies in his coin bank for a long time. No other types of coins are in his bank. One third of the coins in the bank are quarters and one fifth of the coins are loonies. There are 56 toonies in the bank. Determine how much money Ethan has saved in his coin bank.
I just don't understand since it doesn't say how many coins are in the bank
Answer by ikleyn(52818) (Show Source): You can put this solution on YOUR website!
.



Let the total number of coins be N.


Then  the number of quarters is  ,  according to the description.


Next,  the number of loonies is  .


The rest of coins are toonies.


It gives you an equation for total coins


     +  + 56 = N.


To solve it, multiply both sides (and each term) by 15.  You will get


    5N + 3N + 56*15 = 15N

    56*15           = 15N - 5N - 3N

    56*15           = 7N

    N               =  = 8*15 = 120.     ANSWER

Solved.

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