Question

Two groups of people went on holidays.First group hired a taxi and paid rupees 400 each. In the second group,there are 4 more people than the first group and each of them paid rupees 100 less than the first group.If the total expenditure of both the groups is rupees 5400,find the total number of people who went on holidays​

Answer 1

The total number of people who went on holidays is 16.

Step-by-step explanation:

Let's assume the number of people in the first group is x.

Each person in the first group paid rupees 400, so the total expenditure of the first group is 400x.

In the second group, there are 4 more people than the first group, so the number of people in the second group is x+4.

Each person in the second group paid rupees 100 less than the first group, so each person in the second group paid 400-100=300 rupees.

The total expenditure of the second group is 300(x+4).

Given that the total expenditure of both groups is 5400 rupees, we can set up the equation:

400x + 300(x+4) = 5400

Simplifying the equation, we get:

400x + 300x + 1200 = 5400

Combining like terms, we have:

700x + 1200 = 5400

Subtracting 1200 from both sides:

700x = 4200

Dividing both sides by 700:

x = 6

The number of people in the first group is 6, and the number of people in the second group is 6+4=10.

Therefore, the total number of people who went on holidays is 6+10=16.