Out of the 95 travellers interviewed ,7 travelled by bus and train only,3 by train and car only and 8 travelled by all three means of transport.The number x of travellers who travelled by bus only was equal to the number who travelled by bus and car only.if 47 people travelled by bus and 30by train calculate the value of x and the number of people who travelled by at least two means
Just fill in all the given data in your Venn diagrams, they fill in nicely.
I got my x to be 16.
the only missing part at the end seems to be the number "by car only",
but remember that everything has to add up to 90, so you can find that as well.
Ans me
Let's break down the given information step-by-step.
1. Out of the 95 travelers interviewed:
- 7 traveled by bus and train only
- 3 traveled by train and car only
- 8 traveled by all three means of transport
2. We are given that the number x of travelers who traveled by bus only was equal to the number who traveled by bus and car only.
3. We are also given that 47 people traveled by bus and 30 traveled by train.
Let's solve for x and the number of people who traveled by at least two means.
Step 1: Sum up the number of people who traveled by bus and train only, train and car only, and all three means of transport.
7 + 3 + 8 = 18
Step 2: Subtract the total from the total number of travelers to find the number of people who traveled by at least two means.
95 - 18 = 77
Step 3: Subtract the number of people who traveled by bus and train only from the total number of people who traveled by bus.
47 - 7 = 40
Step 4: Find the value of x by dividing the number of people who traveled by bus and car only by 2 (since x is equal to the number who traveled by bus and car only).
3 / 2 = 1.5
Since the number of travelers cannot be a fraction, x must equal 1 (rounded down from 1.5).
So, the value of x is 1 and the number of people who traveled by at least two means is 77.
Therefore, x = 1 and the number of people who traveled by at least two means is 77.
To solve this problem, let's break it down step by step:
Step 1: Write down the given information
- Total number of travelers interviewed = 95
- Number of people who traveled by bus and train only = 7
- Number of people who traveled by train and car only = 3
- Number of people who traveled by all three means of transport (bus, train, and car) = 8
- Number of people who traveled by bus only is equal to the number who traveled by bus and car only (which we'll represent as x).
- Number of people who traveled by bus = 47
- Number of people who traveled by train = 30
Step 2: Calculate the number of people who traveled by bus and train only
To find the number of people who traveled by bus and train only, we subtract the number of people who traveled by all three means of transport (8) from the total number of people who traveled by bus and train (7). Therefore, the number of people who traveled by bus and train only = 7 - 8 = -1. However, since a negative value here doesn't make sense, we know that there has been an error in the given information.
Step 3: Solve the error in the given information
Given that the number of people who traveled by bus (47) and train (30) is provided, and the total number of people interviewed is 95, we can solve for the error in the given information:
- Number of people who traveled by bus and train only = Total number of people who traveled by bus + Total number of people who traveled by train - Total number of people interviewed
- Number of people who traveled by bus and train only = 47 + 30 - 95
- Number of people who traveled by bus and train only = -18
Since we again have a negative value, there's an inconsistency in the given information.
Given the current information, it is not possible to determine the value of x (number of people who traveled by bus only) or the number of people who traveled by at least two means of transport. It's likely that there's a mistake or missing information in the provided data.