At a party,
14 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 4 : 7. Each girl is given 2 chocolates and each boy is given 3 chocolates. Each accompanying adult receives 6 chocolates. Given that only 258 chocolates are given away to boys and adults, how many less girls are there than boys?
Girls |
Boys |
Adults |
3x11 |
1x11 |
4x3 |
7x3 |
|
12 u |
21 u |
11 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 11 is 33.
|
Girls |
Boys |
Adults |
Number |
12 u |
21 u |
11 u |
Value |
2 |
3 |
6 |
Total value |
24 u |
63 u |
66 u |
Number of chocolates given away to boys and adults
= 63 u + 66 u
= 129 u
1 u = 258 ÷ 129 = 2
Number of less girls than boys
= 21 u - 12 u
= 9 u
= 9 x 2
= 18
Answer(s): 18