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If m pencils cost the same as n pens, and each pencil costs
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19 Aug 2018, 04:10
19 Aug 2018, 04:10
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If m pencils cost the same as n pens, and each pencil costs 20 cents, what is the cost, in dollars, of 10 pens, if each pen costs the same amount? (100 cents = 1 dollar)
(A) \(\frac{200n}{m}\)
(B) \(\frac{2n}{100m}\)
(C) \(\frac{2m}{n}\)
(D) \(\frac{2n}{m}\)
(E) \(200mn\)
(A) \(\frac{200n}{m}\)
(B) \(\frac{2n}{100m}\)
(C) \(\frac{2m}{n}\)
(D) \(\frac{2n}{m}\)
(E) \(200mn\)
Re: If m pencils cost the same as n pens, and each pencil costs
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10 Apr 2020, 16:01
10 Apr 2020, 16:01
Expert Reply
We can let p = the cost of a pen, in cents and we can create the equation:
20m = pn
20m/n = p
So the cost of each pen, in dollars, is (20m/n)/100 = 20m/100n = m/5n.
So 10 pens cost:
10 x m/5n = 2m/n dollars.
Alternate Solution:
We are told that m pencils cost the same as n pens, and pencils cost 20 cents (0.20 dollars) each, so we have:
0.20m = n
We see that n pens cost 0.20m, so the cost of one pen can be obtained by dividing by n, so we get:
0.20m/n = n/n
0.20m/n = 1
Since 1 pen costs 0.20m/n dollars, then 10 pens costs (0.20m/n) x 10 = 2m/n dollars.
Answer: C
20m = pn
20m/n = p
So the cost of each pen, in dollars, is (20m/n)/100 = 20m/100n = m/5n.
So 10 pens cost:
10 x m/5n = 2m/n dollars.
Alternate Solution:
We are told that m pencils cost the same as n pens, and pencils cost 20 cents (0.20 dollars) each, so we have:
0.20m = n
We see that n pens cost 0.20m, so the cost of one pen can be obtained by dividing by n, so we get:
0.20m/n = n/n
0.20m/n = 1
Since 1 pen costs 0.20m/n dollars, then 10 pens costs (0.20m/n) x 10 = 2m/n dollars.
Answer: C
Re: If m pencils cost the same as n pens, and each pencil costs
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05 Apr 2024, 06:17
05 Apr 2024, 06:17
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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