**Camp A and Camp B had a total of 350 children. Camp A was for girls whereas Camp B was for boys. There were 2/5 as many girls as boys. Midway, more pupils joined both camps and for every 2 additional girls who joined Camp A, 1 additional boy joined Camp B. Given that there is an equal number of boys and girls in the end, how many boys joined Camp B midway?Solution**

At first -----

Girls ----- 2 units

Boys ----- 5 units

**Boys more than girls**----- 5 units – 2 units =

**3 units**

(Total boys and girls) 7 units ----- 350

1 unit ----- 350 divided by 7 = 50

Girls ----- 2 units x 50 = 100

Boys ----- 5 units x 50 = 250

**Boys more than girls**----- 250 – 100 =

**150**

From the above, we conclude that (

**boys more than girls**)

**3 units ---- 150**

To have equal number of boys and girls in the end,

**an additional 3 units of boys**and 6 units of girls must join, so that both girls and boys will have 8 units each.

(Note that for every 1 additional boy who joined Camp B, 2 additional girls joined Camp A, hence, ratio is 1:2. Likewise, 3 units of boys and 6 units of girls correspond to the ratio 1:2)

Therefore, 3 units of boys joined Camp B midway -----

3 units ----- 150

**Answer: 150 boys joined Camp B.**

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