29 of the guests at a safari park were boys. 80% of the remaining guests were girls and the rest were adults. The number of girls was 187 more than the total number of boys and adults. After some girls left the safari park, 50% of the guests that remained were girls. How many girls left the safari park?
Boys |
Adults |
Girls |
Total |
2x5 |
7x5 |
9x5 |
|
1x7 |
4x7 |
|
10 |
7 |
28 |
45 |
|
Boys and adults |
Girls |
Before |
17x1 = 17 u |
28x1 = 28 u |
Change |
|
- 11 u |
After
|
1x17 = 17 u |
1x17 = 17 u |
80% =
80100 =
45 Adults : Girls = 1 : 4
The total number of adults and girls at first is repeated. Make the total number of adults at first the same. LCM of 7 and 5 is 35.
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 17 and 1 is 17.
The number of girls was 187 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
= 28 u - 17 u
= 11 u
11 u = 187
1 u = 187 ÷ 11 = 17
Number of girls who left the safari park
= 28 u - 17 u
= 11 u
= 11 x 17
= 187
Answer(s): 187