At the stadium were some adults.
12 of the number of tourists was equal to 3 times the number of locals. When another 80 locals entered and 71 tourists left, the ratio of the number of tourists to the number of locals become 5 : 4. Find the number of locals at the stadium at first.
|
Make p the same (1)x4 = (3) |
Tourists (1) |
Locals (2) |
Make p the same (2)x5 = (4) |
Before |
24 u |
6 u |
1 u |
5 u |
Change |
- 284 |
- 71 |
+ 80 |
+ 400 |
After |
20 p |
5 p |
4 p |
20 p |
12 of the tourists = 3 times of the locals
1x32x3 of the tourists =
3x11x1 of the locals
Make the numerators the same. LCM of 1 and 3 is 3.
36 of the tourists =
31 of the locals
Tourists : Locals = 6 : 1
Make p the same.
(3) = (4)
24 u - 284 = 5 u + 400
24 u - 5 u = 400 + 284
19 u = 684
1 u = 684 ÷ 19 = 36
Number of locals at the stadium at first
= 1 u
= 36
Answer(s): 36