Emily gave 4 cards to every girl and 10 cards to every boy in her class. There were 6 more girls than boys in the class. She gave away a total of 122 cards.
- How many children were there in the class?
- How many less cards were given to the girls than the boys?
(a)
There were more girls than boys in class.
If we remove the 6 extra girls, the number of girls and boys will be the same.
Emily would give away less cards.
Number of less cards that Emily needed to give away if there was 6 less girls
= 6 x 4
= 24
Number of cards she would need if there was 6 less girls
= 122 - 24
= 98
Number of cards to give for every 1 girl and 1 boy
= 4 + 10
= 14
Number of sets of 1 girl and 1 boy
= 98 ÷ 14
= 7
Number of boys = 7
Number of girls
= 7 + 6
= 13
Number of children
= 7 + 13
= 20
(b)
Number of cards given to the girls
= 13 x 4
= 52
Number of cards given to the boys
= 7 x 10
= 70
Number of less cards given to the girls than the boys
= 70 - 52
= 18
Answer(s): (a) 20; (b) 18
