A purse containing $3.20 in quarters and dimes has, in all, 20 coins. Find the number of each kind of coin.

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A purse containing $3.20 in quarters and dimes has, in all, 20 coins. Find the number of each kind of coin.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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So Quarters (q) + Dimes (d) = 20 and .25q + .1(d) = 3.20
From here, we can solve for q or d. q+d=20 So d=20-q
Now, we'll go into our second equation and solve it by replacing d with 20-q So our problem looks like .25q +.1(20-q) = 3.20

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I'll let you solve the rest. But do you see how I set up both equations? The number of quarters is unknown so I called it q. The number of dimes is unknown so I called it d. I know that the number of quarters plus the number of dimes is equal to 20, so my equation became q+d=20 Then, the value of a quarter is .25 so I multiply that by the number of quarters, giving me .25q. Then, the value of a dime is .10 so I multiply that by the number of dimes, giving me .1d. So .25q+.1d=3.20

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