At the stadium were some adults.
12 of the number of tourists was equal to 2 times the number of locals. When another 34 locals entered and 46 tourists left, the ratio of the number of tourists to the number of locals become 7 : 5. Find the number of tourists at the stadium at first.
|
Make p the same (1)x5 = (3) |
Tourists (1) |
Locals (2) |
Make p the same (2)x7 = (4) |
Before |
20 u |
4 u |
1 u |
7 u |
Change |
- 230 |
- 46 |
+ 34 |
+ 238 |
After |
35 p |
7 p |
5 p |
35 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)
20 u - 230 = 7 u + 238
20 u - 7 u = 238 + 230
13 u = 468
1 u = 468 ÷ 13 = 36
Number of tourists at the stadium at first
= 4 u
= 4 x 36
= 144
Answer(s): 144