Question

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?​

Answer 1

Let's solve the problem step by step.

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.

Answer 2

Let's break down the problem step by step to find the number of Japanese tourists who visited the zoo.

Step 1: Find the number of locals and foreign tourists.

1/4 of the visitors were locals, so the number of locals is (1/4) * 5400 = 1350.

The rest of the visitors were foreign tourists, so the number of foreign tourists is 5400 - 1350 = 4050.

Step 2: Find the number of foreign tourists from Malaysia and the rest from Japan and China.

1/5 of the foreign tourists were from Malaysia, so the number of tourists from Malaysia is (1/5) * 4050 = 810.

The rest of the foreign tourists were from Japan and China. Let's call the number of Chinese tourists C and the number of Japanese tourists J.

Step 3: Set up equations based on the given information.

We know that there were 200 more Japanese tourists than Chinese tourists:

J = C + 200

And we also know that the total number of foreign tourists is 4050:

C + J = 4050

Step 4: Solve the system of equations.

Substitute the value of J from the first equation into the second equation:

C + (C + 200) = 4050

Combine like terms:

2C + 200 = 4050

Subtract 200 from both sides:

2C = 3850

Now, divide by 2:

C = 1925

So, there were 1925 Chinese tourists.

Now, we can find the number of Japanese tourists using the first equation:

J = C + 200 J = 1925 + 200 J = 2125

There were 2125 Japanese tourists who visited the zoo.