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Question

Answer

(a)
Robotics Club : Science Club
2 : 1

Robotics Club
girls : boys : total
4 : 1 : 5
8u : 2u : 10u

Science Club
girls : boys : total
2u : 3u : 5u

The ratio of the number of girls in the Robotics Clubs to the number of girls in the Science Club is 8u : 2u = 4 : 1.

(b)
2u + 38 ——- 9p (girls were in the Science Club in the end)
6u + 114 ——- 27p
3u ——- 4p
6u ——- 8p
27p – 8p = 19p ——- 114
1p ——- 114/19 = 6
9p ——- 9 x 6 = 54

Ans : (a) 4 : 1; (b) 54 girls.

0 Replies 1 Like ✔Accepted Answer

In a way, this question has a common total problem. I can make both Robotic and science club share a common unit by making the Robotic club total as twice of Science club total.

Science Club => G : B : Total => 2 : 3 : 5

Robotic club total will be twice in total, i.e 5 X 2 = 10
Robotic Club => G : B : Total => 8 : 2 : 10  

a) Girls in Robotic club : Girls Science club => 8 : 2 ##

b)
Before 38 girls tranferred, Science club ratio,
G : B = > 2 :3
Constant boy method
G : B => 8 : 12 Now this ratio share common units as the new ratio below, because 12 represent the boys is both ratio.

New ratio after transferred
G : B => 9 : 4 = > 27 : 12

8u + 38 = 27u  (number of girls in science club after transferred)
19u = 38
u = 2

Girls in science club in the end = 27u = 54 ###

0 Replies 2 Likes
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