SOLUTION: Tim has 40 dimes and quarters with a total value of $7.75. How many dimes and how many quarters does he have?

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Question 1113361: Tim has 40 dimes and quarters with a total value of $7.75. How many dimes and how many quarters does he have?
Found 2 solutions by ikleyn, mananth:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Read the lesson
    - Three methods for solving standard (typical) coin word problems
in this site and learn from there how to solve such problems once for all.


Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

x dimes'
y quarters

Equation for total coins

x + y = 40 .............1

Equation for amount

10 x + 25 y = 775.00 .............2
Eliminate y
multiply (1)by -25.00
Multiply (2) by 1
-25.00 x -25.00 y = -1000.00
10.00 25.00 y = 775.00
Add the two equations
-15.00 x = -225.00
/ -15.00
x = 15.00
plug value of x in (1)
1.00 x + 1.00 y = 40
15.00 + 1.00 y = 40
1.00 y = 25
y= 25
15 dimes' 25 quarters