SOLUTION: Cindy has $7.75 in nickels, dimes and quarters. She has twice as many quarters as nickels and 5 fewer dimes than quarters. Find the number of coins of each denomination that she ha

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Question 843542: Cindy has $7.75 in nickels, dimes and quarters. She has twice as many quarters as nickels and 5 fewer dimes than quarters. Find the number of coins of each denomination that she has.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

She has twice as many quarters as nickels and 5 fewer dimes than quarters+highlight_green%28x%29+.

Question states*** CENTS makes sense

 25x + 10(x-5) + 5(x/2) = 775 cents

  50x + 20(x-5) + 5x = 1550

   75x = 1550 + 100

   75x = 1650

     x = 22 Quarters,  17 Dimes and 11 Nickels

CHECKING our answer***

 550 + 170 + 55 = 775 cents  0r $7.75

Wish You the Best in your Studies.