A computer chip manufacturer expects the ratio of the number

Question

Source: GMAT Prep Shipment ------No. of Defective Chips/shipment---Total Chips in shipment S1 ------------------------------- 2 ------------------------------------5000 S2 ------------------------------- 5 -------------- --------------------12000 S3 ------------------------------- 6 ---------------------------------- 18000 S4 ------------------------------- 4 ---------------------------------- 16000 A computer chip manufacturer expects the ratio of the number of defective chips to be the total number of chips in all future shipments equal to the corresponding ratio for shipments S1, S2, S3, and S4 combined as shown in the table above. What is the expected number of defective chips in a shipment of 60000 chips? A. 14 B. 20 C. 22 D. 24 E. 25 The OA is B

Brent@GMATPrepNow · Answer

BTGmoderatorLU wrote:Source: GMAT Prep Shipment ------No. of Defective Chips/shipment---Total Chips in shipment S1 ------------------------------- 2 ------------------------------------5000 S2 ------------------------------- 5 -------------- --------------------12000 S3 ------------------------------- 6 ---------------------------------- 18000 S4 ------------------------------- 4 ---------------------------------- 16000 A computer chip manufacturer expects the ratio of the number of defective chips to be the total number of chips in all future shipments equal to the corresponding ratio for shipments S1, S2, S3, and S4 combined as shown in the table above. What is the expected number of defective chips in a shipment of 60000 chips? A. 14 B. 20 C. 22 D. 24 E. 25 The OA is B Let's find some TOTALS for all 4 shipments combined. There are 51,000 chips altogether There are 17 defective chips altogether. So, 17/51000 of the chips are defective. (notice that 17 divides nicely into 51000!) SIMPLIFY: 1/3000 of the chips are defective So, if we have a shipment of 60,000 chips, 1/3000 of them will be defective. (1/3000)(60,000) = 20 defective chips Answer: B Cheers, Brent

Scott@TargetTestPrep · Answer

BTGmoderatorLU wrote:Source: GMAT Prep Shipment ------No. of Defective Chips/shipment---Total Chips in shipment S1 ------------------------------- 2 ------------------------------------5000 S2 ------------------------------- 5 -------------- --------------------12000 S3 ------------------------------- 6 ---------------------------------- 18000 S4 ------------------------------- 4 ---------------------------------- 16000 A computer chip manufacturer expects the ratio of the number of defective chips to be the total number of chips in all future shipments equal to the corresponding ratio for shipments S1, S2, S3, and S4 combined as shown in the table above. What is the expected number of defective chips in a shipment of 60000 chips? A. 14 B. 20 C. 22 D. 24 E. 25 The OA is B We are given the following: S1: 2 defective chips out of 5,000 total S2: 5 defective chips out of 12,000 total S3: 6 defective chips out of 18,000 total S4: 4 defective chips out of 16,000 total The ratio of the number of defective chips to total chips is: (2 + 5 + 6 + 4)/(5,000 + 12,000 + 18,000 + 16,000) 17/51,000 = 1/3,000 We see that we would expect 1 chip out of every 3,000 chips to be defective. We can set up a proportion to determine, x, the number of defective chips, that we would expect in a shipment of 60,000 chips. 1/3,000 = x/60,000 60,000 = 3,000x x = 20 Answer: B

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A computer chip manufacturer expects the ratio of the number

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