Julie gave 7 coins to every boy and 10 coins to every girl in her class. There were 2 more boys than girls in the class. She gave away a total of 184 coins.
- How many children were there in the class?
- How many less coins 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.
Julie would give away less coins.
Number of less coins that Julie needed to give away if there was 2 less boys
= 2 x 7
= 14
Number of coins she would need if there was 2 less boys
= 184 - 14
= 170
Number of coins to give for every 1 boy and 1 girl
= 7 + 10
= 17
Number of sets of 1 boy and 1 girl
= 170 ÷ 17
= 10
Number of girls = 10
Number of boys
= 10 + 2
= 12
Number of children
= 10 + 12
= 22
(b)
Number of coins given to the boys
= 12 x 7
= 84
Number of coins given to the girls
= 10 x 10
= 100
Number of less coins given to the boys than the girls
= 100 - 84
= 16
Answer(s): (a) 22; (b) 16