Victoria gave 4 beads to every girl and 7 beads to every boy in her class. There were 3 more girls than boys in the class. She gave away 27 more beads to the boys than the girls.
- How many children were there in the class?
- How many beads were there altogether?
(a)
There were 3 more girls than boys.
If we remove the 3 extra girls, the number of girls and boys will be the same.
The difference in the number of beads given between the girls and boys will increase.
Increase in the difference of the number of beads if there were 3 less girls
= 3 x 4
= 12
Total difference in the number of beads between the girls and the boys
= 27 + 12
= 39
Number of more beads given to each girl than each boy
= 7 - 4
= 3
Number of sets of 1 girl and 1 boy
= 39 ÷ 3
= 13
Number of boys = 13
Number of girls
= 13 + 3
= 16
Number of children
= 13 + 16
= 29
(b)
Total number of beads
= 13 x 7 + 16 x 4
= 91 + 64
= 155
Answer(s): (a) 29; (b) 155
