At a school carnival, each boy received 5 packets of sweets and each girl received 6 packets of sweets. Each accompanying adult received 8 packets of sweets.
37 of the people at the school carnival were adults. The ratio of the number of boys to the number of girls at the carnival was 2 : 5. Given that only 984 packets of sweets were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
4x7 = 28 u |
3x7 = 21 u |
2x4 = 8 u |
5x4 = 20 u |
21 u |
|
Boys |
Girls |
Adults |
Number |
8 u |
20 u |
21 u |
Value |
5 |
6 |
8 |
Total Value |
40 u |
120 u |
168 u |
Fraction of the people who were children
= 1 -
37=
47 The number of children is the combined repeated identity. Make the number of children the same. LCM of 7 and 4 is 28.
Number of packets of sweets given away
= 8 u x 5 + 20 u x 6 + 21 u x 8
= 40 u + 120 u + 168 u
= 328 u
328 u = 984
1 u = 984 ÷ 328 = 3
Number of people at the carnival
= 28 u + 21 u
= 49 u
= 49 x 3
= 147
Answer(s): 147