SOLUTION: Marysia has saved $48.75 in nickels and loonies. If she has 3 nickels fewer than three dash eighths the number of loonies, how many coins of each type does Marysia have?

Question 1137966: Marysia has saved $48.75 in nickels and loonies. If she has 3 nickels fewer than three dash eighths the number of loonies, how many coins of each type does Marysia have?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of nickels
Let = the number of loonies
----------------------------------------
(1)
The value of a loonie is:

(2) is the value of loonies
------------------------------------------------------------
(1)
(1)
and
(2) is the value of loonies
---------------------------------------------------------------------------

Solve with quadratic formula to find number of nickels
Then find number of loonies
There could be an easier way to do this. Get a 2nd opinion
and check my math.

Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.

It is clear from the condition, that the number of loonies must be multiple of 8: 8, or 16, or 24 and so on. So, I will easily solve the problem by "trial and error" method. T A B L E Loonies, L Nickels N = N = ------------------------------------------------------------------- 8 815 0 16 655 3 24 495 6 32 335 9 40 175 12 48 15 15 <<<---=== ANSWER 56 -145 18 64 -305 21 ANSWER. 48 loonies and 15 nickels.

Or, using equations

L + = 48.75 8L + 0.05*(3L -24) = 48.75*8 8.15L = 48.75*8 + 0.05*24 L = = 48. The same answer.

Solved.

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SOLUTION: Marysia has saved ​$48.75 in nickels and loonies. If she has 3 nickels fewer than three dash eighths the number of loonies​, how many coins of each type does Marysia​ have?

SOLUTION: Marysia has saved $48.75 in nickels and loonies. If she has 3 nickels fewer than three dash eighths the number of loonies, how many coins of each type does Marysia have?