An anthropologist studies clothing preferences in a village of 120 people: 75 wear woven fabrics, 55 wear dyed fabrics, and 30 wear both. How many wear only one type of fabric? - Abbey Badges

Understanding the Context

Studying Tradition Through Fabrics: A Village Clothing Study

In a small, tight-knit village of 120 residents, anthropologists conducted a detailed study of daily clothing choices to uncover deeper social and cultural patterns. The investigation focused on fabric preferences, uncovering how clothing reflects tradition, resource access, and identity.

Key Data Overview

• Total village population: 120 people
  
• Number wearing woven fabrics: 75
  
• Number wearing dyed fabrics: 55
  
• Number wearing both woven and dyed fabrics: 30

At first glance, the numbers seem to contradict straightforward inclusion—75+55=130, but overlapping counts suggest some individuals belong to both categories. This is where the concept of set theory and anthropological observation become vital.

Key Insights

Breaking Down the Overlap

Using mathematical logic—specifically the principle of inclusion-exclusion—we calculate how many villagers wear only woven fabrics, only dyed fabrics, and both.

• Those wearing only woven fabrics: 75 (woven total) – 30 (both) = 45 people
  
• Those wearing only dyed fabrics: 55 (dyed total) – 30 (both) = 25 people
  
• Those wearing both fabric types: 30 people

The Number Wearing Only One Type of Fabric

Adding the groups with a single preference:
Only woven + Only dyed = 45 + 25 = 70 villagers

Final Thoughts

So, 70 out of 120 people wear only one type of fabric—either textile in its natural woven form or dyed fabric—while 50 wear both.

What This Reveals About Village Culture

This data reflects more than just fabric choices—it highlights the villagers’ cultural balance between tradition (woven fabrics tied to handcrafting and heritage) and innovation (dyed fabrics signaling adaptation and personal expression). The relatively high overlap on dyed fabrics suggests community influence or trade with neighboring groups, where color application holds social significance.

Understanding such everyday behaviors helps anthropologists interpret broader cultural dynamics—how identity, practicality, and tradition coexist in small communities.

Conclusion
This simple yet revealing study demonstrates how basic anthropological methods combine with math to inform deeper social insight. With 70 village members wearing only one type of fabric, the data underscores the delicate interplay between continuity and change in rural life.