At the bird park were some adults.
12 of the number of tourists was equal to 2 times the number of locals. When another 7 locals entered and 44 tourists left, the ratio of the number of tourists to the number of locals become 8 : 3. Find the number of locals at the bird park at first.
|
Make p the same (1)x3 = (3) |
Tourists (1) |
Locals (2) |
Make p the same (2)x8 = (4) |
Before |
12 u |
4 u |
1 u |
8 u |
Change |
- 132 |
- 44 |
+ 7 |
+ 56 |
After |
24 p |
8 p |
3 p |
24 p |
12 of the tourists = 2 times of the locals
1x22x2 of the tourists =
2x11x1 of the locals
Make the numerators the same. LCM of 1 and 2 is 2.
24 of the tourists =
21 of the locals
Tourists : Locals = 4 : 1
Make p the same.
(3) = (4)
12 u - 132 = 8 u + 56
12 u - 8 u = 56 + 132
4 u = 188
1 u = 188 ÷ 4 = 47
Number of locals at the bird park at first
= 1 u
= 47
Answer(s): 47