Winnie gave 3 stickers to every girl and 5 stickers to every boy in her class. There were 6 more girls than boys in the class. She gave away 40 more stickers to the boys than the girls.
- How many children were there in the class?
- How many stickers were there altogether?
(a)
There were 6 more girls than boys.
If we remove the 6 extra girls, the number of girls and boys will be the same.
The difference in the number of stickers given between the girls and boys will increase.
Increase in the difference of the number of stickers if there were 6 less girls
= 6 x 3
= 18
Total difference in the number of stickers between the girls and the boys
= 40 + 18
= 58
Number of more stickers given to each girl than each boy
= 5 - 3
= 2
Number of sets of 1 girl and 1 boy
= 58 ÷ 2
= 29
Number of boys = 29
Number of girls
= 29 + 6
= 35
Number of children
= 29 + 35
= 64
(b)
Total number of stickers
= 29 x 5 + 35 x 3
= 145 + 105
= 250
Answer(s): (a) 64; (b) 250