At a party,
14 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 2 : 3. Each boy is given 4 chocolates and each girl is given 5 chocolates. Each accompanying adult receives 6 chocolates. Given that only 450 chocolates are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
Adults |
3x5 |
1x5 |
2x3 |
3x3 |
|
6 u |
9 u |
5 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 5 is 15.
|
Boys |
Girls |
Adults |
Number |
6 u |
9 u |
5 u |
Value |
4 |
5 |
6 |
Total value |
24 u |
45 u |
30 u |
Number of chocolates given away to girls and adults
= 45 u + 30 u
= 75 u
1 u = 450 ÷ 75 = 6
Number of less boys than girls
= 9 u - 6 u
= 3 u
= 3 x 6
= 18
Answer(s): 18