There were 2 times as many girls as boys at a party. After 30 boys left, the number of girls was 8 times the number of the remaining boys. How many people attended the party?
|
Girls |
Boys |
Total |
Before |
2x4 = 8 u |
1x4 = 4 u |
12 u |
Change |
|
- 30 |
|
After |
8 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 8 is 8.
Number of boys who left
= 4 u - 1 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Number of people who attended the party
= 8 u + 4 u
= 12 u
= 12 x 10
= 120
Answer(s): 120