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# Magnabulk Corp sells boxes holding d magnets each. The boxes are shipp

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Math Expert
Joined: 02 Sep 2009
Posts: 58434
Magnabulk Corp sells boxes holding d magnets each. The boxes are shipp  [#permalink]

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27 Dec 2015, 09:25
00:00

Difficulty:

55% (hard)

Question Stats:

60% (01:53) correct 40% (01:41) wrong based on 103 sessions

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Magnabulk Corp sells boxes holding d magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?

A. 100bd/m
B. 100m/(bd)
C. bd/(100m)
D. m/(bd)
E. bd/m

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Re: Magnabulk Corp sells boxes holding d magnets each. The boxes are shipp  [#permalink]

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31 Dec 2015, 12:16
Hi All,

This question can be solved algebraically or by TESTing VALUES.

We're given some facts to work with:
1) Magnabulk Corp sells boxes holding D magnets each.
2) The boxes are shipped in crates, each holding B boxes.
3) Magnabulk charges M DOLLARS for each crate

We're asked for the price charged per magnet, in CENTS....

IF....
D = 2
B = 3
M = 12

(2 magnets per crate)(3 crates) = 6 magnets
$12 for 6 magnets =$2 per magnet = 200 cents per magnet

So we're looking for an answer that equals 200 when D=2, B=3 and M=12. There's only one answer that matches...

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Re: Magnabulk Corp sells boxes holding d magnets each. The boxes are shipp  [#permalink]

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03 Jan 2016, 05:50
crate has = bd magnates
C crate cost = m dollars = 100 m cents
each magnate cost for each crate = 100 m / bd

Ans; B
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Re: Magnabulk Corp sells boxes holding d magnets each. The boxes are shipp  [#permalink]

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18 Mar 2018, 07:46
Read the question very carefully and know what it's asking. If you chose "D" that would be probably because you skipped details "cents" mentioned in the question stem.
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Re: Magnabulk Corp sells boxes holding d magnets each. The boxes are shipp  [#permalink]

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04 Jul 2018, 08:57
It's a dimensional analysis problem.
Breaking down our variables:

$$d\left[\frac{magnets}{box}\right]$$ , $$b\left[\frac{boxes}{crate}\right]$$ and $$m\left[\frac{USD}{crate}\right]$$

and we want to find $$x\left[\frac{cents}{magnet}\right]$$

$$x\left[\frac{cents}{magnet}\right]=100\left[\frac{cents}{USD}\right] * m\left[\frac{USD}{crate}\right] * \frac{1}{b}\left[\frac{crate}{boxes}\right] * \frac{1}{d}\left[\frac{box}{magnets}\right]$$

$$x\left[\frac{cents}{magnet}\right]=\frac{100m}{(bd)}\left[\frac{cents}{magnet}\right]$$

Alternative B
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Re: Magnabulk Corp sells boxes holding d magnets each. The boxes are shipp  [#permalink]

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09 Feb 2019, 08:37
Bunuel wrote:
Magnabulk Corp sells boxes holding d magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?

A. 100bd/m
B. 100m/(bd)
C. bd/(100m)
D. m/(bd)
E. bd/m

Solved using plug in error proof approach

d = 5 (magnets)
b = 2 (boxes)

1 crate = 10 magnets
Charges 500 cents for 10 magnets

1 magnet = 50 cents

Just substitute back to get

100m/(bd)
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Re: Magnabulk Corp sells boxes holding d magnets each. The boxes are shipp   [#permalink] 09 Feb 2019, 08:37
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