Thirty-six students are going on a school trip. One student's ticket costs Rs. `92 (1)/(2)`. How much will all the tickets cost?

Answer

To find the total cost of tickets for 36 students, where each ticket costs Rs. 92 (1/2), we can follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction.
The ticket cost for one student is Rs. 92 (1/2). We can convert this mixed number into an improper fraction.

- The whole number part is 92, and the fractional part is 1/2.
- To convert it:
\[ 92 \frac{1}{2} = \frac{92 \times 2 + 1}{2} = \frac{184 + 1}{2} = \frac{185}{2} \]

### Step 2: Multiply the cost of one ticket by the total number of students.
Now that we have the cost of one ticket as \(\frac{185}{2}\), we need to multiply this by the total number of students, which is 36.

- The calculation will be:
\[ \text{Total cost} = 36 \times \frac{185}{2} \]

### Step 3: Simplify the multiplication.
We can simplify the multiplication:
- First, multiply 36 by 185:
\[ 36 \times 185 = 6660 \]
- Then divide by 2:
\[ \frac{6660}{2} = 3330 \]

### Step 4: State the final answer.
The total cost of all tickets for the 36 students is Rs. 3330.

### Summary of the Steps:
1. Convert the mixed fraction \(92 \frac{1}{2}\) to an improper fraction \(\frac{185}{2}\).
2. Multiply the cost of one ticket \(\frac{185}{2}\) by 36.
3. Simplify the multiplication to find the total cost.
4. The final answer is Rs. 3330.

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