Question

A number of people were to share equally the expenses of E600 for a bus trip toSingapore. Five of them were absent and the remaining people had to pay an extraE10 each. How many people were supposed to share the expenses originally?​

Answer 1

To find the original number of people supposed to share the expenses, we can set up and solve a quadratic equation.

Step-by-step explanation:

Let's assume that the original number of people supposed to share the expenses is 'x'.

If each person pays an equal share, then the expense per person is E600 divided by 'x'.

Since 5 people were absent, the remaining people had to pay E10 more each. This means that the new expense per person is E600 divided by 'x' minus 5, plus an additional E10.

Setting up an equation, we have:

E600/x + E10 = (E600/x - 5) + E10

Simplifying the equation, we get:

E600/x = E600/x - 5

Cross-multiplying, we get:

E600 = (E600 - 5x)x

Expanding the equation, we get:

E600 = E600x - 5x^2

Rearranging the equation, we get a quadratic equation:

5x^2 - E600x + E600 = 0

By solving this quadratic equation, we can find the value of 'x', which represents the original number of people supposed to share the expenses.