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 : 7. Each boy is given 2 keychains and each girl is given 5 keychains. Each accompanying adult receives 7 keychains. Given that only 532 keychains are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
Adults |
2x9 |
1x9 |
2x2 |
7x2 |
|
4 u |
14 u |
9 u |
The number of children is repeated. Make the number of children the same. LCM of 2 and 9 is 18.
|
Boys |
Girls |
Adults |
Number |
4 u |
14 u |
9 u |
Value |
2 |
5 |
7 |
Total value |
8 u |
70 u |
63 u |
Number of keychains given away to girls and adults
= 70 u + 63 u
= 133 u
1 u = 532 ÷ 133 = 4
Number of less boys than girls
= 14 u - 4 u
= 10 u
= 10 x 4
= 40
Answer(s): 40