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
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(1)
(2)
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The are 3 unknowns but only 2 equations,
so this is not directly solvable, but still
can be analyzed. There may be several solutions
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Thee must be less than 23 quarters, since

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Suppose ther are 20 quarters

Suppose there are 9 nickels

and 3 dimes

but

so, there are too many quarters
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Let

Let

Let

but

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Closer, but I still have too many quarters
Let

Let

Let

but
closer
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too high
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BIngo!
13 quarters
13 dimes
24 nickels
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There definitely may be other solutions, but this is one of them