SOLUTION: This year in the kangaroo hop exactly 35% of the runners were women and there were 252 more men than women. How many runners were there in total?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: This year in the kangaroo hop exactly 35% of the runners were women and there were 252 more men than women. How many runners were there in total?       Log On


   



Question 1111606: This year in the kangaroo hop exactly 35% of the runners were women and there were 252 more men than women. How many runners were there in total?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the total number of runners
(1) +.35x+ = the number of women
(2) +.35x+%2B+252+ = the number of men
-----------------------------------------
+x+=+.35x+%2B+.35x+%2B+252+
+x+=+.7x+%2B+252+
+.3x+=+252+
+x+=+840+
There are 840 runners
------------------------------
check:
+.35x+=+.35%2A840+
+.35x+=+294+
and
+.65x+=+.65%2A840+
+.65x+=+546+
and
+294+%2B+294+%2B+252+=+840+
+588+%2B+252+=+840+
+840+=+840+
OK