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Jennifer has 25 coins with a total value of $4.25. The coins are quarters and nickels. How many of each does she have?

User Fartab
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1 Answer

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20 votes

Answer:

15 quarters and 10 nickels

Explanation:


q+n=25


0.25q+0.05n=4.25

multiply the first equation by -0.25 and add the second equation to it


-0.25q-0.25n=-6.25\\0.25q+0.05n=4.25
________________

-0.2n=-2


n=(-2)/(-0.2) =10 has 10 nickels


q=25-n=25-10=15 has 15 quarters

10(.05) +15(0.25) = 0.5 + 3.75 = 4.25

Hope this helps

User JLONG
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