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.