At the safari park were some adults.
12 of the number of tourists was equal to 3 times the number of locals. When another 11 locals entered and 44 tourists left, the ratio of the number of tourists to the number of locals become 7 : 2. Find the number of tourists at the safari park at first.
| |
Make p the same
(1)x2 = (3) |
Tourists
(1) |
Locals
(2) |
Make p the same
(2)x7 = (4) |
| Before |
12 u |
6 u |
1 u |
7 u |
| Change |
- 88 |
- 44 |
+ 11 |
+ 77 |
| After |
14 p |
7 p |
2 p |
14 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)
12 u - 88 = 7 u + 77
12 u - 7 u = 77 + 88
5 u = 165
1 u = 165 ÷ 5 = 33
Number of tourists at the safari park at first
= 6 u
= 6 x 33
= 198
Answer(s): 198
