At a party,
13 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 5 : 7. Each boy is given 4 chocolates and each girl is given 6 chocolates. Each accompanying adult receives 8 chocolates. Given that only 270 chocolates are given away to girls and adults, how many less boys are there than girls?
| Boys |
Girls |
Adults |
| 2x6 |
1x6 |
| 5x1 |
7x1 |
|
| 5 u |
7 u |
6 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 12 is 12.
| |
Boys |
Girls |
Adults |
| Number |
5 u |
7 u |
6 u |
| Value |
4 |
6 |
8 |
| Total value |
20 u |
42 u |
48 u |
Number of chocolates given away to girls and adults
= 42 u + 48 u
= 90 u
1 u = 270 ÷ 90 = 3
Number of less boys than girls
= 7 u - 5 u
= 2 u
= 2 x 3
= 6
Answer(s): 6
