SOLUTION: Ron has 13 coins with a total value of $2.05. The coins are nickels and quarters. How many of each coin does he have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Ron has 13 coins with a total value of $2.05. The coins are nickels and quarters. How many of each coin does he have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1021794: Ron has 13 coins with a total value of $2.05. The coins are nickels and quarters. How many of each coin does he have?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Too common a type of question.
Account for the number of coins. Account for the money value. Simplify the system. Solve.

n counts the nickels;
q counts the quarters;
system%28n%2Bq=13%2C0.05n%2B0.25q=2.05%29

system%28n%2Bq=13%2Cn%2B5q=41%29, ready for easily eliminating n with subtraction...
n%2B5q-%28n%2Bq%29=41-13
4q=28
highlight%28q=7%29