At a party,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 2 : 3. Each boy is given 3 magnets and each girl is given 6 magnets. Each accompanying adult receives 8 magnets. Given that only 588 magnets are given away to boys and adults, how many more children are there than adults?
Boys |
Girls |
Adults |
3x5 |
2x5 |
2x3 |
3x3 |
|
6 u |
9 u |
10 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 5 is 15.
|
Boys |
Girls |
Adults |
Number |
6 u |
9 u |
10 u |
Value |
3 |
6 |
8 |
Total value |
18 u |
54 u |
80 u |
Number of magnets given away to boys and adults
= 18 u + 80 u
= 98 u
1 u = 588 ÷ 98 = 6
Number of children
= 6 u + 9 u
= 15 u
Number of more children than adults
= 15 u - 10 u
= 5 u
= 5 x 6
= 30
Answer(s): 30