At a school carnival, each boy received 2 packets of sweets and each girl received 3 packets of sweets. Each accompanying adult received 4 packets of sweets.
29 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 3 : 8. Given that only 2086 packets of sweets were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
7x11 = 77 u |
2x11 = 22 u |
3x7 = 21 u |
8x7 = 56 u |
22 u |
|
Boys |
Girls |
Adults |
Number |
21 u |
56 u |
22 u |
Value |
2 |
3 |
4 |
Total Value |
42 u |
168 u |
88 u |
Fraction of the people who were children
= 1 -
29=
79 The number of children is the combined repeated identity. Make the number of children the same. LCM of 11 and 7 is 77.
Number of packets of sweets given away
= 21 u x 2 + 56 u x 3 + 22 u x 4
= 42 u + 168 u + 88 u
= 298 u
298 u = 2086
1 u = 2086 ÷ 298 = 7
Number of people at the carnival
= 77 u + 22 u
= 99 u
= 99 x 7
= 693
Answer(s): 693