There were 3 times as many girls as boys at a performance. After 14 boys left, the number of girls was 9 times the number of the remaining boys. How many people attended the performance?
|
Girls |
Boys |
Total |
Before |
3x3 = 9 u |
1x3 = 3 u |
12 u |
Change |
|
- 14 |
|
After |
9 u |
1 u |
|
The number of girls at first and in the end remains unchanged. Make the number of girls the same. LCM of 3 and 9 is 9.
Number of boys who left
= 3 u - 1 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of people who attended the performance
= 9 u + 3 u
= 12 u
= 12 x 7
= 84
Answer(s): 84