P6 Math: Stickers

In P6 Bukhara there are 15 boys and 10 girls student. Mdm Alwiyah gave same number of stickers for each student. Each boy then gave 2/3 of his share of stickers to the girls. As a result, each girl received 10 more stickers than each boy.

(a) How many stickers did the girls receive in the end?

(b) How many stickers did Mdm Alwiyah distribute altogether?

Solution:

Each boy gave 2/3 of his share to girls.
2/3u x 15 = 10u
Each boy now have u - 2/3u = 1/3u

Girls got 10u from boys.
Now, girls have 10u + 10u = 20u.
Each girl now have 20u / 10 = 2u.

Different share between girl and boy now = 2u - 1/3u = 5/3u, which is 10 more stickers.
5/3u = 10 --> u = 6

(a) At the end, girls received 20u = 20 x 6 =120

(b) Total distributed stickers remain unchanged = 15u + 10u = 25u = 150.