There were 4 times as many boys as girls at a performance. After 24 girls left, the number of boys was 16 times the number of the remaining girls. How many people attended the performance?
| |
Boys |
Girls |
Total |
| Before |
4x4 =
16 u |
1x4 =
4 u |
20 u |
| Change |
|
- 24 |
|
| After |
16 u |
1 u |
|
The number of boys at first and in the end remains unchanged. Make the number of boys the same. LCM of 4 and 16 is 16.
Number of girls who left
= 4 u - 1 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Number of people who attended the performance
= 16 u + 4 u
= 20 u
= 20 x 8
= 160
Answer(s): 160
