At the zoo were some adults.
12 of the number of locals was equal to 2 times the number of tourists. When another 43 tourists entered and 48 locals left, the ratio of the number of locals to the number of tourists become 5 : 4. Find the number of tourists at the zoo at first.
|
Make p the same (1)x4 = (3) |
Locals (1) |
Tourists (2) |
Make p the same (2)x5 = (4) |
Before |
16 u |
4 u |
1 u |
5 u |
Change |
- 192 |
- 48 |
+ 43 |
+ 215 |
After |
20 p |
5 p |
4 p |
20 p |
12 of the locals = 2 times of the tourists
1x22x2 of the locals =
2x11x1 of the tourists
Make the numerators the same. LCM of 1 and 2 is 2.
24 of the locals =
21 of the tourists
Locals : Tourists = 4 : 1
Make p the same.
(3) = (4)
16 u - 192 = 5 u + 215
16 u - 5 u = 215 + 192
11 u = 407
1 u = 407 ÷ 11 = 37
Number of tourists at the zoo at first
= 1 u
= 37
Answer(s): 37