At a gathering,
25 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 3 sweets and each girl is given 6 sweets. Each accompanying adult receives 7 sweets. Given that only 580 sweets are given away to boys and adults, how many more children are there than adults?
Boys |
Girls |
Adults |
3x7 |
2x7 |
2x3 |
5x3 |
|
6 u |
15 u |
14 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 |
14 u |
Value |
3 |
6 |
7 |
Total value |
18 u |
90 u |
98 u |
Number of sweets given away to boys and adults
= 18 u + 98 u
= 116 u
1 u = 580 ÷ 116 = 5
Number of children
= 6 u + 15 u
= 21 u
Number of more children than adults
= 21 u - 14 u
= 7 u
= 7 x 5
= 35
Answer(s): 35