At a party,
14 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 3 chocolates. Each accompanying adult receives 4 chocolates. Given that only 292 chocolates are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
Adults |
3x7 |
1x7 |
2x3 |
5x3 |
|
6 u |
15 u |
7 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 |
7 u |
Value |
2 |
3 |
4 |
Total value |
12 u |
45 u |
28 u |
Number of chocolates given away to girls and adults
= 45 u + 28 u
= 73 u
1 u = 292 ÷ 73 = 4
Number of less boys than girls
= 15 u - 6 u
= 9 u
= 9 x 4
= 36
Answer(s): 36