Question

Between 50 and 100 people hired a private carriage for a railway trip. They paid a total of 2847.00. Each person paid the same amount (a whole number) which was the exact number of pounds. How many people went on the trip?

Answer 1

To find the number of people who went on the trip, divide the total amount paid by the amount each person paid. The possible values for the amount each person paid are 1, 3, 9, 27, 81, and 243. Only the value of 1 gives a whole number of people, so the number of people who went on the trip is 2847.

Step-by-step explanation:

To find the number of people who went on the trip, we need to determine how much each person paid. We know that the total amount paid was £2847.00. Since each person paid the same amount, we can divide the total by the number of people to find the amount per person. Let's assume that x is the amount each person paid. So we have the equation:

x * number of people = £2847.00

To solve for the number of people, we can divide both sides of the equation by x:

number of people = £2847.00 / x

To find the possible values for x, we need to find the factors of £2847.00. The factors of £2847.00 are 1, 3, 9, 27, 81, 243, 729, and 2187. Since we are dealing with a whole number of pounds, we can eliminate the factors that are not whole numbers. So the possible values for x are 1, 3, 9, 27, 81, and 243.

To find the number of people, we can plug in each value of x into the equation number of people = £2847.00 / x:

1. number of people = £2847.00 / 1 = £2847.00
2. number of people = £2847.00 / 3 = £949.00
3. number of people = £2847.00 / 9 = £316.33
4. number of people = £2847.00 / 27 = £105.67
5. number of people = £2847.00 / 81 = £35.19
6. number of people = £2847.00 / 243 = £11.71

Out of these values, only the first value gives a whole number of people. Therefore, the number of people who went on the trip is 2847.