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Zorluk: OrtaCaselets and Paragraph-Based Data

In a state handloom and textile development initiative, data was collected from three handicraft clusters: Cluster A, Cluster B, and Cluster C. A total of 1,2001,200 weavers are registered across these three clusters. The number of weavers in Cluster C is 300300, of which 40%40\% are female. The number of weavers in Cluster A is 25%25\% more than the number of weavers in Cluster B. In Cluster B, the ratio of male to female weavers is 3:23:2. If the total number of female weavers across all three clusters is 480480, what is the total number of male weavers registered in Cluster A?

Cevap: 300

Cevap

The total number of male weavers registered in Cluster A is 300.
By determining the total weavers in Cluster A (500) and Cluster B (400), and finding the female counts in Cluster C (120) and Cluster B (160), we deduce that Cluster A has 200 female weavers. Subtracting 200 from the 500 total weavers in Cluster A leaves 300 male weavers.

Adım Adım Çözüm

1
Determine total weavers in Clusters A and B combined
900 weavers
Subtract Cluster C weavers (300) from the overall total of 1,200 weavers.
2
Calculate weavers in Cluster B and Cluster A
Cluster B = 400 weavers, Cluster A = 500 weavers
Set Cluster A = 1.25 × Cluster B. Then 2.25 × Cluster B = 900, yielding Cluster B = 400 and Cluster A = 500.
3
Determine female weavers in Cluster C and Cluster B
Cluster C females = 120, Cluster B females = 160
40% of 300 is 120 for Cluster C. Based on the 3:2 male to female ratio in Cluster B, females account for 2/5 of 400, which is 160.
4
Calculate female weavers in Cluster A
200 female weavers
Subtract known females in B (160) and C (120) from the total 480 female weavers: 480 - (120 + 160) = 200.
5
Calculate male weavers in Cluster A
300 male weavers
Subtract female weavers in Cluster A from total weavers in Cluster A: 500 - 200 = 300.

Anahtar Kavram

Data extraction, multi-step ratio calculation, and percentage breakdown from paragraph caselets.
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Konular

Caselets and Paragraph-Based Data

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