Shannon gave 3 stamps to every boy and 10 stamps to every girl in her class. There were 8 more boys than girls in the class. She gave away a total of 232 stamps.
- How many children were there in the class?
- How many less stamps were given to the boys than the girls?
(a)
There were more boys than girls in class.
If we remove the 8 extra boys, the number of boys and girls will be the same.
Shannon would give away less stamps.
Number of less stamps that Shannon needed to give away if there was 8 less boys
= 8 x 3
= 24
Number of stamps she would need if there was 8 less boys
= 232 - 24
= 208
Number of stamps to give for every 1 boy and 1 girl
= 3 + 10
= 13
Number of sets of 1 boy and 1 girl
= 208 ÷ 13
= 16
Number of girls = 16
Number of boys
= 16 + 8
= 24
Number of children
= 16 + 24
= 40
(b)
Number of stamps given to the boys
= 24 x 3
= 72
Number of stamps given to the girls
= 16 x 10
= 160
Number of less stamps given to the boys than the girls
= 160 - 72
= 88
Answer(s): (a) 40; (b) 88
