SOLUTION: you has a combination of 28 quarters, nickels, and dimes. She has $3.15 total. She has three times as many dimes as quarters. Which of the following systems of equations represents

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: you has a combination of 28 quarters, nickels, and dimes. She has $3.15 total. She has three times as many dimes as quarters. Which of the following systems of equations represents      Log On

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Question 814682: you has a combination of 28 quarters, nickels, and dimes. She has $3.15 total. She has three times as many dimes as quarters. Which of the following systems of equations represents the number of coins Erin has?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

28 quarters, nickels, and dimes, $3.15 total  0r 315¢

and three times as many dimes as quarters.

Let x represent the number of quarters and 3x the number of dimes

 25x + 10(3x) + 5(28-4x) = 315¢

   35x = 175

     x = 5

 5 Quarters, 15 Dimes and 8 Nickels

CHECKING our Answer***

 125¢ + 150¢ +40¢ = 315¢  or $3.15