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What is the average number of black shirts produced in unit Q, R and S?
1700
1850
1500
1650
None of the above
1850
Given: Unit Q total shirts = 3150, Black : White = 9 : 5 Unit R total shirts = 5625, Black : White = 7 : 8 Unit S total shirts = 3825, Black : White = 4 : 13 Formula used: Black shirts = (Black ratio / Sum of ratio) × Total shirts Average = (Sum o...
Given:
Unit Q total shirts = 3150, Black: White = 9: 5
Unit R total shirts = 5625, Black: White = 7: 8
Unit S total shirts = 3825, Black: White = 4: 13
Formula used:
Black shirts = (Black ratio / Sum of ratio) × Total shirts
Average = (Sum of values) ÷ Number of values
Calculation:
Unit Q: Black shirts = (9 / 14) × 3150 = 2025
Unit R: Black shirts = (7 / 15) × 5625 = 2625
Unit S: Black shirts = (4 / 17) × 3825 = 900
Average black shirts: (2025 + 2625 + 900) ÷ 3
⇒ 5550 ÷ 3 = 1850
∴ The average number of black shirts produced in units Q, R and S is 1850.