Question 1026341
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Darrel has dimes and quarters in his pocket. He has 28 coins in all, and they are worth $4.60 altogether. How many quarters does Darrel have? Dimes?
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Let d be the number of dimes Darrel has.
Then the number of quarters is 28-d.

The "value" equation is

10*d + 25(28-d) = 460.

Simplify and solve it.

10d + 700 - 25d = 460,

-15d = 460-700,

-15d = -240,

d = {{{(-240)/(-15)}}} = 16.

<U>Answer</U>. 16 dimes and 28-16 = 12 quarters.
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