At a party,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 5 : 7. Each boy is given 4 chocolates and each girl is given 7 chocolates. Each accompanying adult receives 10 chocolates. Given that only 258 chocolates are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
Adults |
3x4 |
2x4 |
5x1 |
7x1 |
|
5 u |
7 u |
8 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 12 is 12.
|
Boys |
Girls |
Adults |
Number |
5 u |
7 u |
8 u |
Value |
4 |
7 |
10 |
Total value |
20 u |
49 u |
80 u |
Number of chocolates given away to girls and adults
= 49 u + 80 u
= 129 u
1 u = 258 ÷ 129 = 2
Number of less boys than girls
= 7 u - 5 u
= 2 u
= 2 x 2
= 4
Answer(s): 4