At the theme park were some adults.
13 of the number of tourists was equal to 2 times the number of locals. When another 38 locals entered and 12 tourists left, the ratio of the number of tourists to the number of locals become 8 : 3. Find the number of tourists at the theme park at first.
|
Make p the same (1)x3 = (3) |
Tourists (1) |
Locals (2) |
Make p the same (2)x8 = (4) |
Before |
18 u |
6 u |
1 u |
8 u |
Change |
- 36 |
- 12 |
+ 38 |
+ 304 |
After |
24 p |
8 p |
3 p |
24 p |
13 of the tourists = 2 times of the locals
1x23x2 of the tourists =
2x11x1 of the locals
Make the numerators the same. LCM of 1 and 2 is 2.
26 of the tourists =
21 of the locals
Tourists : Locals = 6 : 1
Make p the same.
(3) = (4)
18 u - 36 = 8 u + 304
18 u - 8 u = 304 + 36
10 u = 340
1 u = 340 ÷ 10 = 34
Number of tourists at the theme park at first
= 6 u
= 6 x 34
= 204
Answer(s): 204