Jimmin and Momo each had $297 to spend on JISMO t-shirts at the school festival. Jimmin got a quarter price discount voucher and managed to buy 9 more t-shirts than Momo. How many t-shirts did Jimmin buy with the discount and given conditions? How much did 1 t-shirt cost without the discount?

Let the price of one t-shirt without a discount be $ p $. Momo bought t-shirts without any discount, and Jimmin bought t-shirts with a 25% discount.

### Step 1: Calculate Jimmin's effective price with the discount
Since Jimmin had a 25% discount, the price he paid per t-shirt is:
\[
p_J = \frac{3}{4} \times p = 0.75p
\]
This is the price Jimmin paid for each t-shirt.

### Step 2: Set up the equations for the total money spent
Both Jimmin and Momo had $297 to spend. Let's denote the number of t-shirts Momo bought as $ m $, and the number of t-shirts Jimmin bought as $ j $.

For Momo, the amount she spent is:
\[
297 = m \times p \quad \text{(1)}
\]
For Jimmin, the amount he spent is:
\[
297 = j \times 0.75p \quad \text{(2)}
\]

### Step 3: Use the information that Jimmin bought 9 more t-shirts than Momo
From the problem, we know:
\[
j = m + 9 \quad \text{(3)}
\]

### Step 4: Solve the system of equations
Substitute equation (3) into equation (2):
\[
297 = (m + 9) \times 0.75p
\]
Expand this equation:
\[
297 = 0.75p \times m + 0.75p \times 9
\]
\[
297 = 0.75p \times m + 6.75p
\]

Now substitute $ 297 = m \times p $ from equation (1) into this expression:
\[
297 = 0.75 \times 297 + 6.75p
\]
\[
297 = 222.75 + 6.75p
\]
Now solve for $ p $ (the price of one t-shirt without discount):
\[
297 - 222.75 = 6.75p
\]
\[
74.25 = 6.75p
\]
\[
p = \frac{74.25}{6.75} = 11
\]

### Step 5: Find the number of t-shirts Jimmin bought
Now that we know the price of each t-shirt, $ p = 11 $, substitute this back into equation (1) to find how many t-shirts Momo bought:
\[
297 = m \times 11
\]
\[
m = \frac{297}{11} = 27
\]

Now use equation (3) to find the number of t-shirts Jimmin bought:
\[
j = m + 9 = 27 + 9 = 36
\]

### Final Answer:
- Jimmin bought 36 t-shirts.
- The price of one t-shirt without the discount is $11.

Would you like more details or have any questions? 

Here are 5 questions for further exploration:
1. How much did Jimmin save by using the discount voucher?
2. What would happen if Jimmin had a 50% discount instead of 25%?
3. How many t-shirts could Momo buy if she had the same discount as Jimmin?
4. What is the total value of all the t-shirts bought by both Jimmin and Momo?
5. How much more could Momo buy if she had an additional $50?

**Tip:** Always check for consistent units when dealing with prices and quantities to avoid calculation mistakes.

Discover how Jimmin, using a 25% discount voucher, managed to buy 9 more t-shirts than Momo with $297. This problem involves linear equations and percentage discount calculations. Find out how many t-shirts Jimmin bought and how much a single t-shirt costs without the discount. Suitable for Grades 6-8.

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