If a player paid ₹ 750, how many matches did he play? Class 9

If a player paid ₹ 750, how many matches did he play? Class 9

Question 1.

If a player paid ₹ 750, how many matches did he play? Class 9

Answer:

The total amount paid = ₹ (200 + 50m)

where m = number of matches played

Given, amount paid by player = ₹ 750

∴ 750 = 200 + 50m

∴ 50m = 750 - 200

∴ 50m = 550

∴ m = [latex]\frac{550}{50}[/latex]

∴ m = 11

∴ The player played 11 matches.

Question 2.

A school library charges ₹5 per day as a fine for an overdue book. Priya returned a book 12 days late and paid ?80 in total. Find the processing fee by forming and solving a linear equation. Class 9

Solution:

Step I: Assign a variable

Let the processing fee be ₹x.

Step II: Form a linear polynomial

Fine for 12 days = 12 × ₹5 = ₹60

Total amount paid = Fine + Processing fee

= 60 + x

So, the linear polynomial is 60 + x.

Step III: Equate to the given value

Since Priya paid ₹80 in total

∴ 60 + x = 80

Note that 60 + x is a linear polynomial. By equating it to 80, we get a linear equation.

Step IV: Solve the linear equation.

x = 80 - 60

∴ x = 20

∴ The processing fee charged by the school library is ₹ 20.