At a school carnival, each boy received 5 packets of lollipops and each girl received 6 packets of lollipops. Each accompanying adult received 8 packets of lollipops.
49 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 4669 packets of lollipops were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
5x11 = 55 u |
4x11 = 44 u |
3x5 = 15 u |
8x5 = 40 u |
44 u |
|
Boys |
Girls |
Adults |
Number |
15 u |
40 u |
44 u |
Value |
5 |
6 |
8 |
Total Value |
75 u |
240 u |
352 u |
Fraction of the people who were children
= 1 -
49=
59 The number of children is the combined repeated identity. Make the number of children the same. LCM of 11 and 5 is 55.
Number of packets of lollipops given away
= 15 u x 5 + 40 u x 6 + 44 u x 8
= 75 u + 240 u + 352 u
= 667 u
667 u = 4669
1 u = 4669 ÷ 667 = 7
Number of people at the carnival
= 55 u + 44 u
= 99 u
= 99 x 7
= 693
Answer(s): 693