Eva gave 5 beads to every boy and 8 beads to every girl in her class. There were 2 more boys than girls in the class. She gave away a total of 114 beads.
- How many children were there in the class?
- How many less beads were given to the boys than the girls?
(a)
There were more boys than girls in class.
If we remove the 2 extra boys, the number of boys and girls will be the same.
Eva would give away less beads.
Number of less beads that Eva needed to give away if there was 2 less boys
= 2 x 5
= 10
Number of beads she would need if there was 2 less boys
= 114 - 10
= 104
Number of beads to give for every 1 boy and 1 girl
= 5 + 8
= 13
Number of sets of 1 boy and 1 girl
= 104 ÷ 13
= 8
Number of girls = 8
Number of boys
= 8 + 2
= 10
Number of children
= 8 + 10
= 18
(b)
Number of beads given to the boys
= 10 x 5
= 50
Number of beads given to the girls
= 8 x 8
= 64
Number of less beads given to the boys than the girls
= 64 - 50
= 14
Answer(s): (a) 18; (b) 14
