A girl has 8 coins in dimes and quarters. Their value is $1.55. How many quarters does she have?

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A girl has 8 coins in dimes and quarters. Their value is $1.55. How many quarters does she have?

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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d+q=8 .10d+.25q=1.55
Diagram method. 1. Draw 8 circles, representing 8 coins A coin must at least carry a value of 10 cents. 2. Draw 1 leg for 10 cents onto every circle. Draw the remaining legs until the value reaches $1.55. (3 legs for a quarter)
d=8-q from the first equation. Replace d with 8-q in the second equation and solve.

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I still like my method better :)
.10(8-q)+.25q=1.55 10(8-q)+25q=155 80-10q+25q=155 15q=75 q=5 d=3
thanks alot
your welcome :)

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