There were 3 times as many boys as girls at a performance. After 20 girls left, the number of boys was 15 times the number of the remaining girls. How many people attended the performance?
| |
Boys |
Girls |
Total |
| Before |
3x5 =
15 u |
1x5 =
5 u |
20 u |
| Change |
|
- 20 |
|
| After |
15 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 15 is 15.
Number of girls who left
= 5 u - 1 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Number of people who attended the performance
= 15 u + 5 u
= 20 u
= 20 x 5
= 100
Answer(s): 100
