Four mat-weavers weave 4 mats in 4 days. At the same rate, how many mats will 8 mat-weavers weave in 8 days?

Given data

• 4 weavers → 4 mats in 4 days
• Find mats made by 8 weavers in 8 days at the same rate

Concept / Approach

• Mats are proportional to (number of weavers) × (days), assuming identical constant rates.

Step-by-step calculation

Baseline output per (weaver·day): k = 4 mats ÷ (4 weavers × 4 days) = 4/16 = 0.25For 8 weavers in 8 days: mats = 0.25 × 8 × 8 = 16

Alternative check

Scaling factor = (8×8)/(4×4) = 64/16 = 4 ⇒ 4 mats × 4 = 16 mats.

Common pitfalls

• Adding weavers and days instead of multiplying.

Final Answer

16 mats