At the safari park were some adults.
12 of the number of tourists was equal to 2 times the number of locals. When another 18 locals entered and 72 tourists left, the ratio of the number of tourists to the number of locals become 8 : 5. Find the number of tourists at the safari park at first.
| |
Make p the same
(1)x5 = (3) |
Tourists
(1) |
Locals
(2) |
Make p the same
(2)x8 = (4) |
| Before |
20 u |
4 u |
1 u |
8 u |
| Change |
- 360 |
- 72 |
+ 18 |
+ 144 |
| After |
40 p |
8 p |
5 p |
40 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 - 360 = 8 u + 144
20 u - 8 u = 144 + 360
12 u = 504
1 u = 504 ÷ 12 = 42
Number of tourists at the safari park at first
= 4 u
= 4 x 42
= 168
Answer(s): 168
