There were 2 times as many girls as boys at a performance. After 18 boys left, the number of girls was 6 times the number of the remaining boys. How many people attended the performance?
| |
Girls |
Boys |
Total |
| Before |
2x3 =
6 u |
1x3 =
3 u |
9 u |
| Change |
|
- 18 |
|
| After |
6 u |
1 u |
|
The number of girls at first and in the end remains unchanged. Make the number of girls the same. LCM of 2 and 6 is 6.
Number of boys who left
= 3 u - 1 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of people who attended the performance
= 6 u + 3 u
= 9 u
= 9 x 9
= 81
Answer(s): 81
