There were 3 times as many boys as girls at a party. After 27 girls left, the number of boys was 12 times the number of the remaining girls. How many people attended the party?
|
Boys |
Girls |
Total |
Before |
3x4 = 12 u |
1x4 = 4 u |
16 u |
Change |
|
- 27 |
|
After |
12 u |
1 u |
|
The number of boys at first and in the end remains unchanged. Make the number of boys the same. LCM of 3 and 12 is 12.
Number of girls who left
= 4 u - 1 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Number of people who attended the party
= 12 u + 4 u
= 16 u
= 16 x 9
= 144
Answer(s): 144