SOLUTION: (The title of the chapter is systems of Linear Equations in two varibles). Question: A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: (The title of the chapter is systems of Linear Equations in two varibles). Question: A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 256233: (The title of the chapter is systems of Linear Equations in two varibles).
Question:
A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is $2.75, how many dimes and how many quarters does he have.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"A man has 14 coins" ___ d + q = 14 ___ 10d + 10q = 140

"the total value of his change is $2.75" ___ 10d + 25q = 275

subtracting eqns ___ 15q = 135 ___ q = 9

substituting ___ d + 9 = 14 ___ d = 5