At the safari park were some adults.
13 of the number of locals was equal to 2 times the number of tourists. When another 42 tourists entered and 23 locals left, the ratio of the number of locals to the number of tourists become 7 : 3. Find the number of locals at the safari park at first.
| |
Make p the same
(1)x3 = (3) |
Locals
(1) |
Tourists
(2) |
Make p the same
(2)x7 = (4) |
| Before |
18 u |
6 u |
1 u |
7 u |
| Change |
- 69 |
- 23 |
+ 42 |
+ 294 |
| After |
21 p |
7 p |
3 p |
21 p |
13 of the locals = 2 times of the tourists
1x23x2 of the locals =
2x11x1 of the tourists
Make the numerators the same. LCM of 1 and 2 is 2.
26 of the locals =
21 of the tourists
Locals : Tourists = 6 : 1
Make p the same.
(3) = (4)
18 u - 69 = 7 u + 294
18 u - 7 u = 294 + 69
11 u = 363
1 u = 363 ÷ 11 = 33
Number of locals at the safari park at first
= 6 u
= 6 x 33
= 198
Answer(s): 198
