Question 1158536
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Robert has $14.60 in nickels, dimes, quarters and loonies. He has 4 times as many dimes as nickels, 
3 times as many quarters as nickels and 3 less loonies than nickels. He has 69 coins all together. 
How many of each coin does he have? Answer algebraically and show your work.
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<pre>
Loonie is a Canadian one-dollar coin, introduced in 1987.


Let x be the number of nickels.

Then the number of dimes is 4x; the number of quarters 3x, and the number of loonies (x-3).


The total for coins equation is

    x + 4x + 3x + (x-3) = 69.


Simplify and find x

    9x = 69 + 3 = 72

     x =          72/9 = 8.


<U>ANSWER</U>.  8 nickels, 4*8 = 32 dimes; 3*8 = 24 quarters  and (8-3) = 5 loonies.


<U>CHECK</U> for the total money :  8*0.05 + 32*0.10 + 24*0.25 + 5*1.00 = 14.60 dollars.   ! Correct !
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Solved.


Note that of two conditions, one for total money and the other for total coins, ONE CONDITION IS EXCESSIVE.