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A computer chip manufacturer expects the ratio of the number of defect

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Carcass
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A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   21 Dec 2021, 06:08
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A computer chip 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’s the expected number of defective chips in a shipment of 60,000 chips?

A. 14
B. 20
C. 22
D. 24
E. 25
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B
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GreenlightTestPrep
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Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   21 Dec 2021, 06:19
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Carcass wrote:
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A computer chip 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’s the expected number of defective chips in a shipment of 60,000 chips?

A. 14
B. 20
C. 22
D. 24
E. 25

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
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Kimberly99
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Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   13 Feb 2023, 02:32
Hi Brent GreenlightTestPrep, how to avoid silly mistake like 51000/17 when it should've been the other way round ?
Thanks Brent
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GreenlightTestPrep
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Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   13 Feb 2023, 06:58
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Kimberly99 wrote:
Hi Brent GreenlightTestPrep, how to avoid silly mistake like 51000/17 when it should've been the other way round ?
Thanks Brent


It helps to ask yourself: What does this fraction imply?

There are 51,000 chips altogether
There are 17 defective chips altogether.
Conclusion #1: 51000/17 of the chips are defective. What does this mean? It means: out of every 17 chips, 51000 are defective. This makes no sense.
Conclusion #2: 17/51000 of the chips are defective. What does this mean? It means: out of every 51000 chips, 17 are defective. This makes sense.
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Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   16 Feb 2023, 05:09
Ah this make perfect sense. Thanks Brent GreenlightTestPrep for great explanation always.
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Paul121
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Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   12 Oct 2023, 15:21
In this question, we have 4 different types of chips. s1, s2, s3, and s4.
Any kind has a different ratio of defective chips to working chips.
For example, s1 has 2 defective chips for every 5,000 chips.
So out of 60,000 chips, 24 will be defective.
In other words, the amount of defective chips will be different for every type.

GreenlightTestPrep For your answer, you distributed the new shipment of the chips to be equal to the distribution of the original shipment. Why did you decide to do it?
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grehater123456
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Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   19 Dec 2024, 20:35
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you can also get up a proportionality here:

17/51k = ?/60k
? = 20
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Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink]
19 Dec 2024, 20:35
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