Question

A swimming academy charges onetime registration fees plus fixed monthly fee. Mayank joined the academy and paid ₹1200 in the first month including registration fee and ₹700 in the second month. Write linear equation that shows the total fee, , for months and the total fee for 6 months?​

Answer 1

There is a one time reg fee and a fixed monthly fee.

Mayank joined the Swimming Academy and paid 1200 for the fee in total = registration fee + monthly fee.

In the next month he pays 700 rupees.

If we assume the registration fee to be X, then we get the linear equation as 700 + X = 1200

Where X = 500.

So we know that the registration fee is 500 rupees.

For 6 months, the amount of money given by Mayank will be 6 x 700 = 4200 rupees.

Total amount paid by Mayank after 6 months = 4200 + 500 = 4700 rupees

Answer 2

Given:

A swimming academy charges one time reg fee and a fixed monthly fee.

Mayank joined the Swimming Academy and paid ₹1200 in the first month..  

In the next second month he pays ₹700 rupees.

To find:

The linear equation that shows the total fee for months and the total fee for 6 months

Solution:

Let the registration fee be 'x'

Mayank paid ₹700 is the second month.

Therefore, the fixed monthly fee is ₹700

Then, the linear equation is 700 + x = 1200

x = 1200 - 700

x = 500

The registration fee is ₹500

The total fee for 6 months paid by Mayank is 6 × 700 + 500

Total fee paid by Mayank for 6 months is 4200 + 500 = ₹4700

Final answer:

The linear equation of the total fee is 700 + x = 1200

The total fee for 6 months = ₹4700