At the safari park were some adults.
13 of the number of locals was equal to 2 times the number of tourists. When another 21 tourists entered and 44 locals left, the ratio of the number of locals to the number of tourists become 8 : 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)x8 = (4) |
| Before |
18 u |
6 u |
1 u |
8 u |
| Change |
- 132 |
- 44 |
+ 21 |
+ 168 |
| After |
24 p |
8 p |
3 p |
24 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 - 132 = 8 u + 168
18 u - 8 u = 168 + 132
10 u = 300
1 u = 300 ÷ 10 = 30
Number of locals at the safari park at first
= 6 u
= 6 x 30
= 180
Answer(s): 180
