SOLUTION: a coin jar has 50coins consisting of nickels, dimes, and quarters. The total value of the coins in the jar is $5.75. How many nickels, dimes, quarters are in the jar ?
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Question 1088907: a coin jar has 50coins consisting of nickels, dimes, and quarters. The total value of the coins in the jar is $5.75. How many nickels, dimes, quarters are in the jar ?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of nickels
Let = the number of dimes
Let = the number of quarters
------------------------------------
(1)
(2)
---------------------------------
The are 3 unknowns but only 2 equations,
so this is not directly solvable, but still
can be analyzed. There may be several solutions
-------------------------
Thee must be less than 23 quarters, since
-------------------
---------------------
Suppose ther are 20 quarters
Suppose there are 9 nickels
and 3 dimes
but
so, there are too many quarters
------------------------------
Let
Let
Let
but
--------------------------------
Closer, but I still have too many quarters
Let
Let
Let
but
closer
--------------------------------
too high
------------------
BIngo!
13 quarters
13 dimes
24 nickels
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There definitely may be other solutions, but this is one of them
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