A collection of 70 coins consisting of dimes, quarters, and half-dollars has a value of 17.75. there are three timesas many quarters as dimes. Find the number of ecah kind of coin

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A collection of 70 coins consisting of dimes, quarters, and half-dollars has a value of 17.75. there are three timesas many quarters as dimes. Find the number of ecah 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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x+y+z=70;x=3y;4y+z=70 .25(3y)+.10y+.5z=17.75 .85y+.5z=17.75 85y+50z=1775 200y+50z=3500 ---------------- 115y=1725 y=15 x=45 z=10 There are 45 quarters, 15 dimes, and 10 half-dollars in the coin collection..
Thank you, but i still don't understand how you got the result. Would you please explain with a little bit of details. Thanks oce again :)

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