At a party,
25 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 3 : 7. Each girl is given 2 chocolates and each boy is given 3 chocolates. Each accompanying adult receives 6 chocolates. Given that only 276 chocolates are given away to girls and adults, how many more children are there than adults?
| Girls |
Boys |
Adults |
| 3x10 |
2x10 |
| 3x3 |
7x3 |
|
| 9 u |
21 u |
20 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 10 is 30.
| |
Girls |
Boys |
Adults |
| Number |
9 u |
21 u |
20 u |
| Value |
2 |
3 |
6 |
| Total value |
18 u |
63 u |
120 u |
Number of chocolates given away to girls and adults
= 18 u + 120 u
= 138 u
1 u = 276 ÷ 138 = 2
Number of children
= 9 u + 21 u
= 30 u
Number of more children than adults
= 30 u - 20 u
= 10 u
= 10 x 2
= 20
Answer(s): 20
