Six identical machines produce 270 bottles per minute at a constant rate. At this rate, how many bottles can ten such machines produce in four minutes?

Given data

• 6 machines → 270 bottles/min
• Find output of 10 machines in 4 minutes

Concept / Approach

• Rate per machine is constant; total rate scales linearly with number of machines.

Step-by-step calculation

Per-machine rate = 270 / 6 = 45 bottles/min10 machines rate = 10 × 45 = 450 bottles/minIn 4 minutes: 450 × 4 = 1800 bottles

Verification

Proportionality check: factor (10/6) in machines and ×4 minutes ⇒ 270 × (10/6) × 4 = 270 × (5/3) × 4 = 270 × (20/3) = 90 × 20 = 1800.

Common pitfalls

• Multiplying by 6 again or forgetting the 4-minute duration.

Final Answer

1800 bottles