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(52778) (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) (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
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