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If a certain vitamin pill has 400 milligrams of magnesium

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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If a certain vitamin pill has 400 milligrams of magnesium [#permalink] New post 13 May 2017, 17:51
Expert's post
00:00

Question Stats:

59% (00:17) correct 40% (00:31) wrong based on 22 sessions
If a certain vitamin pill has 400 milligrams of magnesium, then how many grams of magnesium are in a bottle of 500 vitamin pills? (1 gram = 1,000 milligrams)

A. 20
B. 200
C. 2,000
D. 20,000
E. 200,000

Drill 1
Question: 3
Page: 337
[Reveal] Spoiler: OA

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Re: If a certain vitamin pill has 400 milligrams of magnesium [#permalink] New post 25 May 2017, 04:41
Expert's post
sandy wrote:
If a certain vitamin pill has 400 milligrams of magnesium, then how many grams of magnesium are in a bottle of 500 vitamin pills? (1 gram = 1,000 milligrams)

A. 20
B. 200
C. 2,000
D. 20,000
E. 200,000

Drill 1
Question: 3
Page: 337


Given: ONE pill has 400 milligrams of magnesium
Let's use equivalent ratios to convert milligrams to grams.
Let's use the ratio milligrams/grams
So, 1000/1 = 400/x (where x = grams of magnesium in ONE pill)
Cross multiply to get: 1000x = 400
Divide both sides by 1000 to get: x = 400/1000 = 4/10 = 0.4
So, ONE pill has 0.4 GRAMS of magnesium

So, 500 pills will have (500)(0.4) GRAMS of magnesium
Evaluate to see that 500 pills will have 200 GRAMS of magnesium

Answer:
[Reveal] Spoiler:
B


Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4722
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1630 [0], given: 390

CAT Tests
Re: If a certain vitamin pill has 400 milligrams of magnesium [#permalink] New post 31 May 2017, 07:28
Expert's post
Explanation

First, find that 400 milligrams × 500 pills = 200,000 milligrams total. Then, convert to grams by dividing by 1,000 to find the answer: 200 grams. When doing multiple conversions, be sure to label carefully and watch for arithmetic errors.

Hence option B is correct!
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Sandy
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Re: If a certain vitamin pill has 400 milligrams of magnesium   [#permalink] 31 May 2017, 07:28
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If a certain vitamin pill has 400 milligrams of magnesium

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