At a party,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 2 : 5. Each boy is given 4 chocolates and each girl is given 6 chocolates. Each accompanying adult receives 9 chocolates. Given that only 432 chocolates are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
Adults |
3x7 |
2x7 |
2x3 |
5x3 |
|
6 u |
15 u |
14 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 7 is 21.
|
Boys |
Girls |
Adults |
Number |
6 u |
15 u |
14 u |
Value |
4 |
6 |
9 |
Total value |
24 u |
90 u |
126 u |
Number of chocolates given away to girls and adults
= 90 u + 126 u
= 216 u
1 u = 432 ÷ 216 = 2
Number of less boys than girls
= 15 u - 6 u
= 9 u
= 9 x 2
= 18
Answer(s): 18