110 of the visitors at a zoo were girls. 75% of the remaining visitors were boys and the rest were adults. The number of boys was 448 more than the total number of girls and adults. After some boys left the zoo, 60% of the visitors that remained were boys. How many boys left the zoo?
Girls |
Adults |
Boys |
Total |
1x4 |
9x4 |
10x4 |
|
1x9 |
3x9 |
|
4 |
9 |
27 |
40 |
|
Girls and adults |
Boys |
Before |
13x2 = 26 u |
27x2 = 54 u |
Change |
|
- 15 u |
After
|
2x13 = 26 u |
3x13 = 39 u |
75% =
75100 =
34 Adults : Boys = 1 : 3
The total number of adults and boys at first is repeated. Make the total number of adults at first the same. LCM of 9 and 4 is 36.
60% =
60100 =
35 When some boys left, the total number of girls and adults remains unchanged. Make the total number of girls and adults the same. LCM of 13 and 2 is 26.
The number of boys was 448 more than the total number of girls and adults at first.
Number of more boys than the total number of girls and adults at first
= 54 u - 26 u
= 28 u
28 u = 448
1 u = 448 ÷ 28 = 16
Number of boys who left the zoo
= 54 u - 39 u
= 15 u
= 15 x 16
= 240
Answer(s): 240