Production Rate Comparison: Machine A (30/3min) vs Machine B (16/2min)

To solve this problem, we'll follow these steps:

• Step 1: Calculate the production rate per minute for each machine.
• Step 2: Determine the total production over 10 minutes for each machine.
• Step 3: Compare the results to determine which machine produces more t-shirts.

Now, let's work through each step:
Step 1: For Machine A, the production rate is calculated as follows:
Production Rate of Machine A = $\frac{30 \text{ t-shirts}}{3 \text{ minutes}} = 10 \text{ t-shirts per minute}$
For Machine B, the production rate is:
Production Rate of Machine B = $\frac{16 \text{ t-shirts}}{2 \text{ minutes}} = 8 \text{ t-shirts per minute}$
Step 2: Calculate the total production over 10 minutes for both machines:
Machine A over 10 minutes: $10 \text{ t-shirts/minute} \times 10 \text{ minutes} = 100 \text{ t-shirts}$
Machine B over 10 minutes: $8 \text{ t-shirts/minute} \times 10 \text{ minutes} = 80 \text{ t-shirts}$
Step 3: Compare the production totals:
Machine A produces 100 t-shirts, while Machine B produces 80 t-shirts in the same time period.
Therefore, Machine A will produce more t-shirts in 10 minutes.