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Official GMAT-style Quant Question

County Q has 32 acres of wetlands, which is 0.005 of its total acreage. Which of the following expresses the total acreage of County Q?

A. $(5 \times 1 0^{3}) (32)$
B. $(2 \times 1 0^{6}) (32)$
C. $(2 \times 1 0^{4}) (32)$
D. $\frac{( 1 0 ^{4} ) ( 32 )}{5}$
E. $\frac{( 1 0 ^{6} ) ( 32 )}{5}$

Explanation	Calculations	Help
$We first choose a variable for the total acreage of County Q.$	$T = total acreage of County Q$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the statement "32 acres of wetlands, which is 0.005% of its total acreage" into an equation.$	$32 = \frac{0.005}{100} \times T$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We isolate the total acreage by dividing both sides by the percentage coefficient.$	$T = \frac{32}{\frac{0.005}{100}}$	Theory & Tactics Method Card EQUA0-D Click to view full details
$We simplify the percentage fraction in the denominator to a decimal and then to scientific notation.$	$\frac{0.005}{100} = 0.00005 0.00005 = 5 \times 1 0^{- 5}$	Theory & Tactics Method Card FDPR3-C Click to view full details
$We substitute the scientific notation and invert the fraction.$	$T = \frac{32}{5 \times 1 0 ^{- 5}} = 32 \times \frac{1 0 ^{5}}{5}$	Theory & Tactics Method Card EQUA0-D Click to view full details
$We simplify the fraction using the divide-by-5 technique.$	$\frac{1 0 ^{5}}{5} = \frac{1 0 ^{5} \times 2}{10} = 2 \times 1 0^{4}$	Theory & Tactics Method Card CALC7-A Click to view full details
$We combine the results to express the total acreage.$	$T = (2 \times 1 0^{4}) (32)$	Theory & Tactics Method Card EQUA0-D Click to view full details

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C

Official GMAT-style Quant Question

County Q has 32 acres of wetlands, which is 0.005 of its total acreage. Which of the following expresses the total acreage of County Q?

A. $(5 \times 1 0^{3}) (32)$
B. $(2 \times 1 0^{6}) (32)$
C. $(2 \times 1 0^{4}) (32)$
D. $\frac{( 1 0 ^{4} ) ( 32 )}{5}$
E. $\frac{( 1 0 ^{6} ) ( 32 )}{5}$

Explanation	Calculations	Help
$We first choose a variable for the total acreage of County Q.$	$T = total acreage of County Q$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the statement "32 acres of wetlands, which is 0.005% of its total acreage" into an equation.$	$32 = \frac{0.005}{100} \times T$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We isolate the total acreage by dividing both sides by the percentage coefficient.$	$T = \frac{32}{\frac{0.005}{100}}$	Theory & Tactics Method Card EQUA0-D Click to view full details
$We simplify the percentage fraction in the denominator to a decimal and then to scientific notation.$	$\frac{0.005}{100} = 0.00005 0.00005 = 5 \times 1 0^{- 5}$	Theory & Tactics Method Card FDPR3-C Click to view full details
$We substitute the scientific notation and invert the fraction.$	$T = \frac{32}{5 \times 1 0 ^{- 5}} = 32 \times \frac{1 0 ^{5}}{5}$	Theory & Tactics Method Card EQUA0-D Click to view full details
$We simplify the fraction using the divide-by-5 technique.$	$\frac{1 0 ^{5}}{5} = \frac{1 0 ^{5} \times 2}{10} = 2 \times 1 0^{4}$	Theory & Tactics Method Card CALC7-A Click to view full details
$We combine the results to express the total acreage.$	$T = (2 \times 1 0^{4}) (32)$	Theory & Tactics Method Card EQUA0-D Click to view full details

Scroll horizontally to view all columns

C