There were 3 times as many boys as girls at a performance. After 18 girls left, the number of boys was 9 times the number of the remaining girls. How many people attended the performance?
|
Boys |
Girls |
Total |
Before |
3x3 = 9 u |
1x3 = 3 u |
12 u |
Change |
|
- 18 |
|
After |
9 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 9 is 9.
Number of girls who left
= 3 u - 1 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of people who attended the performance
= 9 u + 3 u
= 12 u
= 12 x 9
= 108
Answer(s): 108