At a party,
13 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 3 : 5. Each boy is given 4 keychains and each girl is given 6 keychains. Each accompanying adult receives 7 keychains. Given that only 290 keychains are given away to girls and adults, how many less boys are there than girls?
| Boys |
Girls |
Adults |
| 2x4 |
1x4 |
| 3x1 |
5x1 |
|
| 3 u |
5 u |
4 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 8 is 8.
| |
Boys |
Girls |
Adults |
| Number |
3 u |
5 u |
4 u |
| Value |
4 |
6 |
7 |
| Total value |
12 u |
30 u |
28 u |
Number of keychains given away to girls and adults
= 30 u + 28 u
= 58 u
1 u = 290 ÷ 58 = 5
Number of less boys than girls
= 5 u - 3 u
= 2 u
= 2 x 5
= 10
Answer(s): 10
