SOLUTION: At the end of 2006, Subway topped McDonald's as the largest restaurant chain in the US. Subway operated 6,981 more restaurants than McDonald's and together the two chains had 34,52

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Question 831897: At the end of 2006, Subway topped McDonald's as the largest restaurant chain in the US. Subway operated 6,981 more restaurants than McDonald's and together the two chains had 34,529 restaurants. How many restaurants did each company operate?
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
It's because Subway has better food!
.
Here's what we are told in the question:
S = M + 6981
S + M = 34529
.
We can substitute the known value of S into the second equation.
S + M = 34529
(M+6981) + M = 34529
2M + 6981 = 34529
subtract 6981 from each side
2M = 27548
Divide by 2
M = 13774
.
Let's plug it back in to make sure it's right.
13774 + 13774 + 6981 = 34529
Success!