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by grandh01 » Tue Jul 24, 2012 4:37 pm
Shipment # of defective ships #total number of chips in shipment
S1 2 5,000
S2 5 12,000
S3 6 18,000
S4 4 16,000

A computer manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal 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 60,000 chips?

1) 14
2) 20
3) 22
4) 24
5) 25

The question is from gmat prep, thanks in advance.
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by eagleeye » Tue Jul 24, 2012 5:26 pm
grandh01 wrote:Shipment # of defective ships #total number of chips in shipment
S1 2 5,000
S2 5 12,000
S3 6 18,000
S4 4 16,000

A computer manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal 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 60,000 chips?

1) 14
2) 20
3) 22
4) 24
5) 25

The question is from gmat prep, thanks in advance.
Total number of defective chips = 2+5+6+4 = 17
Total number of chips shipped = 1000*(5+12+18+16) = 1000*51

Now the expected ratio corresponds , therefore let the number of expected defective chips be x.
Then

x/60000 = 17/51000
=> x = 60*17/51 = 20

[spoiler]2)[/spoiler] is correct.

Cheers!
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by CSASHISHPANDAY » Wed Jul 25, 2012 5:11 am
(2+5+6+4)/(5000+12000+18000+16000)*60000 = 20
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by Anurag@Gurome » Wed Jul 25, 2012 9:50 pm
grandh01 wrote:Shipment # of defective ships #total number of chips in shipment
S1 2 5,000
S2 5 12,000
S3 6 18,000
S4 4 16,000

A computer manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal 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 60,000 chips?

1) 14
2) 20
3) 22
4) 24
5) 25

The question is from gmat prep, thanks in advance.
Total no. of shipments = 5000 + 12000 + 18000 + 16000 = 51000
Total no. of defective chips = 2 + 5 + 6 + 4 = 17
Let x be the expected number of defective chips in a shipment of 60000 chips.
Then 17:51000 = x:60000
x = 20

The correct answer is B.
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