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Answer:
15 quarters, 10 nickels
Step-by-step explanation:
[tex]q+n=25[/tex]
[tex]0.25q+0.05n=4.25[/tex]
multiply the first equation by -0.25 and add the second equation to it
[tex]-0.25q-0.25n=-6.25\\0.25q+0.05n=4.25[/tex]
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[tex]-0.2n=-2[/tex]
[tex]n=\frac{-2}{-0.2} =10[/tex] has 10 nickels
[tex]q=25-n=25-10=15[/tex] has 15 quarters
10(.05) +15(0.25) = 0.5 + 3.75 = 4.25
Hope this helps