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Original        8/8 B + 7/7 G = 908 —-(1)

5/8 B and 4/7 G left

Remaining is 3/8 B + 3/7 G = 345

(divide by 3)  1/8 B + 1/7 G = 115

(times 7)        7/8 B + 7/7 G = 805  —(2)

Compare (1) and (2), difference is 1/8 B = 908 – 805 = 103

boys left                                               5/8 B = 103 x 5 = 515#

 

0 Replies 2 Likes ✔Accepted Answer

Method 1 :
boys : 8u
girls :  7p

8u + 7p ——- 908
3u + 3p ——- 345
1u + 1p ——- 345/3 = 115
7u + 7p ——-805
1u ——- 908 – 805 = 103
5u ——- 103 x 5 = 515

Method 2 :
boys : 8u
girls :  7p

8u + 7p ——- 908
24u + 21p ——- 908 x 3 = 2724
8u – 5u = 3u
7p – 4p = 3p
3u + 3p ——- 345
21u + 21p ——- 345 x 7 = 2415
3u ——- 309
1u ——- 309/3 = 103
5u ——- 5 x 103 = 515

Ans : 515 boys.

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