110 of the people at a tourist attraction were boys. 90% of the remaining people were girls and the rest were adults. The number of girls was 930 more than the total number of boys and adults. After some girls left the tourist attraction, 50% of the people that remained were girls. How many girls left the tourist attraction?
Boys |
Adults |
Girls |
Total |
1x10 |
9x10 |
10x10 |
|
1x9 |
9x9 |
|
10 |
9 |
81 |
100 |
|
Boys and adults |
Girls |
Before |
19x1 = 19 u |
81x1 = 81 u |
Change |
|
- 62 u |
After
|
1x19 = 19 u |
1x19 = 19 u |
90% =
90100 =
910 Adults : Girls = 1 : 9
The total number of adults and girls at first is repeated. Make the total number of adults at first the same. LCM of 9 and 10 is 90.
50% =
50100 =
12 When some girls left, the total number of boys and adults remains unchanged. Make the total number of boys and adults the same. LCM of 19 and 1 is 19.
The number of girls was 930 more than the total number of boys and adults at first.
Number of more girls than the total number of boys and adults at first
= 81 u - 19 u
= 62 u
62 u = 930
1 u = 930 ÷ 62 = 15
Number of girls who left the tourist attraction
= 81 u - 19 u
= 62 u
= 62 x 15
= 930
Answer(s): 930