SOLUTION: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $1
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Question 278824: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Set-Up
------------
Let A = Number of Nickels
Let b = Number of Dimes
Equation 1:
Equation 2:
Solution:
------------
You can divide every term in equation 1 by .05
Equation 1:
Subtract 2B from both sides
Now we can plug (113 - 2B) into equation 2 for A
Equation 2:
Simplify
Simplify
Simplify
Subtract 6.05 from both sides
Divide both sides by 0.1
Now plug 44 into the modified equation 1 for B
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