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Difficulty: 1/102023 NMTC 2023 (QII-66)

Amir is window cleaner. He uses the following formula to calculate the amount to charge his customers: Charge = Rs 20+4n, where is the number of windows house has. If house has 7 windows, how much would Amir charge?

Guide / Hint

Hint 1: Identify the formula: .

Hint 2: Substitute into the formula.

Hint 3: Perform the addition of the base charge of Rs 20 and the per-window fee of Rs 28 to find the total charge.

Solution

Step 1 (Understand the Formula): Amir's charge formula is:

where is the number of windows.

Step 2 (Substitute the Value): We are given that the house has windows, so . Substituting:

Step 3 (Conclusion): Amir would charge exactly 48 Rs.

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    2023 NMTC 2023 QII-66 - Olympiad Math Olympiad Question | Leminno