SOLUTION: THe grade 6 pupils of a school are divided equally into Team A and Team B. The ratio of the number of boys to the number of girls in Team A is 2:1 and in Team B it is 4:11. What is

Algebra ->  Equations -> SOLUTION: THe grade 6 pupils of a school are divided equally into Team A and Team B. The ratio of the number of boys to the number of girls in Team A is 2:1 and in Team B it is 4:11. What is      Log On


   

Question 1013358: THe grade 6 pupils of a school are divided equally into Team A and Team B. The ratio of the number of boys to the number of girls in Team A is 2:1 and in Team B it is 4:11. What is the ratio of the number of boys to the number of girls in grdae 6?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Since team A and team B have the same number of students
and ratios won't change whatever the numbers are, I will say:
team A = +120+ students
team B = +120+ students
-----------------------
team A:
+b%2Fg+=+2%2F1+
+b+=+2g+
+b+=+2%2A%28+120+-+b+%29+
+b+=+240+-+2b+
+3b+=+240+
+b+=+80+
+g+=+40+
---------------
team B:
+b%2Fg+=+4%2F11+
+b+=+%284%2F11%29%2Ag+
+b+=+%284%2F11%29%2A%28+120+-+b+%29+
+b+=+43.636+-+.3636b+
+1.3636b+=+43.636+
+b+=+32+
and
+g+=+88+
----------------
Total number of boys is:
+80+%2B+32+=+112+
Total number of girls is:
+40+%2B+88+=+128+
------------------
+b%2Fg+=+112%2F128+
Divide top and bottom by +16+
+b%2Fg+=+7%2F8+
The ratio of boys to girls in grade 6 is 7/8
check:
+112%2F240+=+7%2F15+
and
+128%2F240+=+8%2F15+
and
+%28%28+7%2F15+%29%29+%2F+%28%28+8%2F15+%29%29+=+7%2F8+
OK