At a school carnival, each boy received 5 packets of chocolate bars and each girl received 7 packets of chocolate bars. Each accompanying adult received 8 packets of chocolate bars.
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 2 : 5. Given that only 2245 packets of chocolate bars were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
5x7 = 35 u |
4x7 = 28 u |
2x5 = 10 u |
5x5 = 25 u |
28 u |
|
Boys |
Girls |
Adults |
Number |
10 u |
25 u |
28 u |
Value |
5 |
7 |
8 |
Total Value |
50 u |
175 u |
224 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 7 and 5 is 35.
Number of packets of chocolate bars given away
= 10 u x 5 + 25 u x 7 + 28 u x 8
= 50 u + 175 u + 224 u
= 449 u
449 u = 2245
1 u = 2245 ÷ 449 = 5
Number of people at the carnival
= 35 u + 28 u
= 63 u
= 63 x 5
= 315
Answer(s): 315