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A rectangular wall has dimensions of 800 by 300. If the wall

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by Max@Math Revolution » Mon Jan 14, 2019 11:46 pm

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[Math Revolution GMAT math practice question]

A rectangular wall has dimensions of 800 by 300. If the wall is tiled using tiles measuring 12 x 25 of the same units, how many tiles are used?

A. 360
B. 400
C. 500
D. 600
E. 800
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by GMATGuruNY » Tue Jan 15, 2019 3:10 am
Max@Math Revolution wrote:[Math Revolution GMAT math practice question]

A rectangular wall has dimensions of 800 by 300. If the wall is tiled using tiles measuring 12 x 25 of the same units, how many tiles are used?

A. 360
B. 400
C. 500
D. 600
E. 800
number of tiles = (wall area)/(tile area) = (800*300)/(25*12) = 32*25 = 800.

The correct answer is E.
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by fskilnik@GMATH » Tue Jan 15, 2019 4:38 am
Max@Math Revolution wrote:[Math Revolution GMAT math practice question]

A rectangular wall has dimensions of 800 by 300. If the wall is tiled using tiles measuring 12 x 25 of the same units, how many tiles are used?

A. 360
B. 400
C. 500
D. 600
E. 800
Trivial application of UNITS CONTROL, one of the most powerful tools of our method!

(We assume the units length is centimeters, just for didactic reasons.)

$$?\,\,\, = \,\,\,800 \cdot 300\,\,{\rm{c}}{{\rm{m}}^2}\,\,\left( {{{1\,\,{\rm{tile}}} \over {12\, \cdot 25\,\,{\rm{c}}{{\rm{m}}^2}}}} \right)\,\,\,\, = \,\,\,\,{{800 \cdot 3 \cdot 4 \cdot 25} \over {3 \cdot 4 \cdot 25}}\,\,{\rm{tiles}}\,\,\, = \,\,\,800\,\,\,{\rm{tiles}}$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
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by Max@Math Revolution » Thu Jan 17, 2019 12:53 am
=>

Now, 800 / 25 = 32 and 300 / 12 = 25. Thus, the number of tiles required is 32 * 25 = 800.

Therefore, the answer is E.
Answer: E
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by Scott@TargetTestPrep » Thu Jan 17, 2019 5:59 pm
Max@Math Revolution wrote:[Math Revolution GMAT math practice question]

A rectangular wall has dimensions of 800 by 300. If the wall is tiled using tiles measuring 12 x 25 of the same units, how many tiles are used?

A. 360
B. 400
C. 500
D. 600
E. 800
The number of tiles used is:

(800 x 300)/(12 x 25) = (800 x 300)/300 = 800

Answer: E

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