SOLUTION: Here's my question. There was a 10K race. 112 more men than women were entered in the race. The sum of men and women is 600. How many women were entered in the race?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Here's my question. There was a 10K race. 112 more men than women were entered in the race. The sum of men and women is 600. How many women were entered in the race?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 127613: Here's my question.
There was a 10K race. 112 more men than women were entered in the race. The sum of men and women is 600. How many women were entered in the race?
Answer by oscargut(686) About Me  (Show Source):
You can put this solution on YOUR website!
Let x number of men
y number of women
then x = y+112 (112 more men than women were entered in the race)
and x+y=600 (The sum of men and women is 600.)
then y+112+y=600 then 2y+112=600 then 2y=488 then y=244 and x=244+112=356
R: x=356 and y=244