Question
Download Solution PDFThe average number of bags sold in shop A and shop B is 190 and the average number of bags sold in shop B and shop C is 210 and the average number of bags sold in shop A and C is 220. Find the number of bags sold in shop B.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFSolution:
Number of bags sold in shop A = x
Number of bags sold in shop B = y
Number of bags sold in shop C = z
The average number of bags sold in shop A and shop B = 190
(x + y)/2 = 190 = 2 × 190 = 380
The average number of bags sold in shop B and shop C is 210
(y + z)/2 = 210 = 2 × 210 = 420
The average number of bags sold in shop A and C is 220
(x + z)/2 = 220 = 220 × 2 = 440
2(x + y + z) = (380 + 420 + 440)
2(x + y + z) = 1240
(x + y + z) = 620
Number of bags sold in shop B = 620 - 440 = 180
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