At the park were some adults.
12 of the number of tourists was equal to 4 times the number of locals. When another 43 locals entered and 72 tourists left, the ratio of the number of tourists to the number of locals become 8 : 3. Find the number of locals at the park at first.
|
Make p the same (1)x3 = (3) |
Tourists (1) |
Locals (2) |
Make p the same (2)x8 = (4) |
Before |
24 u |
8 u |
1 u |
8 u |
Change |
- 216 |
- 72 |
+ 43 |
+ 344 |
After |
24 p |
8 p |
3 p |
24 p |
12 of the tourists = 4 times of the locals
1x42x4 of the tourists =
4x11x1 of the locals
Make the numerators the same. LCM of 1 and 4 is 4.
48 of the tourists =
41 of the locals
Tourists : Locals = 8 : 1
Make p the same.
(3) = (4)
24 u - 216 = 8 u + 344
24 u - 8 u = 344 + 216
16 u = 560
1 u = 560 ÷ 16 = 35
Number of locals at the park at first
= 1 u
= 35
Answer(s): 35