There were u pairs of 1 boy and 1 girl getting 8 sweets per pair.

The 15 more girls got 15 x 5 = 75 sweets.

Therefore, the u pairs got 267 – 75 = 192 sweets

Since 1 pair got 8 sweets

u = 192 / 8 = 24

There were 24 boys, and 24 + 15 = 39 girls for a total of 63 children

(b)

There were now 39 boys & 24 girls.

Sweets given out = (39 x 3) + (24 x 5) = 237

Visual presentation of the solution…