At a party,
13 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 2 chocolates and each girl is given 5 chocolates. Each accompanying adult receives 6 chocolates. Given that only 184 chocolates are given away to girls and adults, how many less boys are there than girls?
| Boys |
Girls |
Adults |
| 2x7 |
1x7 |
| 2x2 |
5x2 |
|
| 4 u |
10 u |
7 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 7 is 14.
| |
Boys |
Girls |
Adults |
| Number |
4 u |
10 u |
7 u |
| Value |
2 |
5 |
6 |
| Total value |
8 u |
50 u |
42 u |
Number of chocolates given away to girls and adults
= 50 u + 42 u
= 92 u
1 u = 184 ÷ 92 = 2
Number of less boys than girls
= 10 u - 4 u
= 6 u
= 6 x 2
= 12
Answer(s): 12
