SOLUTION: The change in a pocket totals $1.00 and is composed of 6 coins. The number of quarters is the equal to the sum of the nickels and dimes. How many of each coin is in the pocket?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The change in a pocket totals $1.00 and is composed of 6 coins. The number of quarters is the equal to the sum of the nickels and dimes. How many of each coin is in the pocket?      Log On


   

Question 997576: The change in a pocket totals $1.00 and is composed of 6 coins. The number of quarters is the equal to the sum of the nickels and dimes. How many of each coin is in the pocket?
Answer by Alan3354(69443) About Me  (Show Source):
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The change in a pocket totals $1.00 and is composed of 6 coins. The number of quarters is the equal to the sum of the nickels and dimes. How many of each coin is in the pocket?
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q + n + d = 6
q = n + d
--> q + q = 6
q = 3 quarters
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25q + 5n + 10d = 100
75 + 5n + 10d = 100
n + 2d = 5
--> 1 nickel
2 dimes