Nation Z has 88 acres of protected wetlands, which... | Free GMAT Practice Question | GMAT Panda

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Official GMAT-style Quant Question

Nation Z has 88 acres of protected wetlands, which represent 0.0025 percent of its total acreage. Which of the following expresses Nation Z’s total acreage?

A. $4 (1 0^{4}) (88)$
B. $4 (1 0^{2}) (88)$
C. $\frac{( 1 0 ^{3} ) ( 88 )}{4}$
D. $\frac{( 1 0 ^{5} ) ( 88 )}{4}$
E. $\frac{( 1 0 ^{6} ) ( 88 )}{25}$

Explanation	Calculations	Help
$We first choose a variable for the total acreage of Nation Z.$	$T = total acreage of Nation Z$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the statement "88 acres of protected wetlands, which represent 0.0025 percent of its total acreage" into an equation.$	$88 = \frac{0.0025}{100} \times T$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We isolate the total acreage by dividing both sides by the percentage coefficient.$	$T = \frac{88}{\frac{0.0025}{100}}$	Theory & Tactics Method Card EQUA0-D Click to view full details
$We simplify the percentage fraction in the denominator to a decimal and then to scientific notation.$	$\frac{0.0025}{100} = 0.000025 0.000025 = 25 \times 1 0^{- 6}$	Theory & Tactics Method Card FDPR3-C Click to view full details
$We then simplify and express the total acreage in scientific notation.$	$T = \frac{88}{25 \times 1 0 ^{- 6}} = \frac{88}{25} \times 1 0^{6}$	Theory & Tactics Method Card FDPR3-C Click to view full details

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E

Official GMAT-style Quant Question

Nation Z has 88 acres of protected wetlands, which represent 0.0025 percent of its total acreage. Which of the following expresses Nation Z’s total acreage?

A. $4 (1 0^{4}) (88)$
B. $4 (1 0^{2}) (88)$
C. $\frac{( 1 0 ^{3} ) ( 88 )}{4}$
D. $\frac{( 1 0 ^{5} ) ( 88 )}{4}$
E. $\frac{( 1 0 ^{6} ) ( 88 )}{25}$

Explanation	Calculations	Help
$We first choose a variable for the total acreage of Nation Z.$	$T = total acreage of Nation Z$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the statement "88 acres of protected wetlands, which represent 0.0025 percent of its total acreage" into an equation.$	$88 = \frac{0.0025}{100} \times T$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We isolate the total acreage by dividing both sides by the percentage coefficient.$	$T = \frac{88}{\frac{0.0025}{100}}$	Theory & Tactics Method Card EQUA0-D Click to view full details
$We simplify the percentage fraction in the denominator to a decimal and then to scientific notation.$	$\frac{0.0025}{100} = 0.000025 0.000025 = 25 \times 1 0^{- 6}$	Theory & Tactics Method Card FDPR3-C Click to view full details
$We then simplify and express the total acreage in scientific notation.$	$T = \frac{88}{25 \times 1 0 ^{- 6}} = \frac{88}{25} \times 1 0^{6}$	Theory & Tactics Method Card FDPR3-C Click to view full details

Scroll horizontally to view all columns

E