[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
A rectangular wall has dimensions of 800 by 300. If the wall
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- Max@Math Revolution
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number of tiles = (wall area)/(tile area) = (800*300)/(25*12) = 32*25 = 800.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 correct answer is E.
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- fskilnik@GMATH
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Trivial application of UNITS CONTROL, one of the most powerful tools of our method!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
(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.
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Fabio.
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- Max@Math Revolution
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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
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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The number of tiles used is: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
(800 x 300)/(12 x 25) = (800 x 300)/300 = 800
Answer: E
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