A total of 5400 people visited the zoo last week. 1/4 of the visitors were locals and the rest were foreign tourists. 1/5 of the foreign tourists were from Malaysia and the rest were from Japan and China. If there were 200 more Japanese tourists than Chinese tourists, how many Japanese tourists visited the zoo?
First, let's find the number of local visitors:
Number of local visitors = (1/4) * 5400 = 1350
Next, let's find the number of foreign tourists:
Number of foreign tourists = Total number of visitors - Number of local visitors
Number of foreign tourists = 5400 - 1350 = 4050
Now, let's find the number of foreign tourists from Malaysia:
Number of tourists from Malaysia = (1/5) * 4050 = 810
The remaining foreign tourists are from Japan and China. Let's assume the number of Chinese tourists is x. Therefore, the number of Japanese tourists is x + 200.
Since the total number of foreign tourists is 4050, we can write the following equation:
x + (x + 200) + 810 = 4050
Simplifying the equation:
2x + 1010 = 4050
2x = 4050 - 1010
2x = 3040
x = 3040 / 2
x = 1520
So, the number of Chinese tourists is 1520, and the number of Japanese tourists is 1520 + 200 = 1720.
Therefore, 1720 Japanese tourists visited the zoo.