SOLUTION: 10.60 in a jar of 100 coins quarters & dimes. How many dime in the jar? Please show how to set up.

Question 597010: 10.60 in a jar of 100 coins quarters & dimes. How many dime in the jar? Please show how to set up.
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Hi, there--
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Let q be the number of quarters in the jar.
Let d be the number of dimes in the jar.
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The amount of money in quarters is $0.25 times the number of quarters in the jar, so the value of all the quarters is

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The amount of money in dimes is $0.10 times the number of dimes, so the value of the dimes is

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There are 100 coins all together so

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The total dollar amount in the jar is $10.60 so

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Now we have a system of two equations that we can solve. Rewrite the first equation in terms of d.

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Substitute 100-q for d in the second equation.

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Simplify.

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There are 4 quarters.
There are 100-4=96 dimes.
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CHECK your work.
Do 4 quar$9.60. A dollar plus $9.60 is $10.60...Check!!!
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That's it. Feel free to email me via gmail, if the explanation is unclear.
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Ms.Figgy
math.in.the.vortex@gmail.com
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