SOLUTION: 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?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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?      Log On


   

Question 1026341: 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?
Answer by ikleyn(52795) About Me  (Show Source):
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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 = %28-240%29%2F%28-15%29 = 16.

Answer. 16 dimes and 28-16 = 12 quarters.