Eva gave 2 erasers to every boy and 4 erasers to every girl in her class. There were 6 more boys than girls in the class. She gave away a total of 54 erasers.
- How many children were there in the class?
- How many less erasers were given to the boys than the girls?
(a)
There were more boys than girls in class.
If we remove the 6 extra boys, the number of boys and girls will be the same.
Eva would give away less erasers.
Number of less erasers that Eva needed to give away if there was 6 less boys
= 6 x 2
= 12
Number of erasers she would need if there was 6 less boys
= 54 - 12
= 42
Number of erasers to give for every 1 boy and 1 girl
= 2 + 4
= 6
Number of sets of 1 boy and 1 girl
= 42 ÷ 6
= 7
Number of girls = 7
Number of boys
= 7 + 6
= 13
Number of children
= 7 + 13
= 20
(b)
Number of erasers given to the boys
= 13 x 2
= 26
Number of erasers given to the girls
= 7 x 4
= 28
Number of less erasers given to the boys than the girls
= 28 - 26
= 2
Answer(s): (a) 20; (b) 2