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Official GMAT-style Quant Question

Region Y has 56 lakes designated as protected habitats, which is 0.0008 percent of its total water bodies. Which of the following expresses the total number of water bodies in Region Y?

A. $8 (1 0^{5}) (56)$
B. $8 (1 0^{4}) (56)$
C. $\frac{( 1 0 ^{5} ) ( 56 )}{8}$
D. $\frac{( 1 0 ^{6} ) ( 56 )}{8}$
E. $\frac{( 1 0 ^{7} ) ( 56 )}{8}$

Explanation	Calculations	Help
$We first name the variable for the total number of water bodies in Region Y.$	$W = total number of water bodies in Region Y$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the statement "56 lakes designated as protected habitats, which is 0.0008 percent of its total water bodies" into an equation.$	$56 = \frac{0.0008}{100} \times W$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We isolate the total number of water bodies by dividing both sides by the percentage coefficient.$	$W = \frac{56}{\frac{0.0008}{100}}$	Theory & Tactics Method Card EQUA0-D Click to view full details
$We convert the percentage fraction in the denominator to scientific notation.$	$\frac{0.0008}{100} = 0.000008 = 8 \times 1 0^{- 6}$	Theory & Tactics Method Card FDPR3-C Click to view full details
$We simplify the expression and express the result in scientific notation to match the answer choices.$	$W = \frac{56}{8 \times 1 0 ^{- 6}} = \frac{56}{8} \times 1 0^{6} = 7 \times 1 0^{6}$	Theory & Tactics Method Card FDPR3-C Click to view full details

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D

Official GMAT-style Quant Question

Region Y has 56 lakes designated as protected habitats, which is 0.0008 percent of its total water bodies. Which of the following expresses the total number of water bodies in Region Y?

A. $8 (1 0^{5}) (56)$
B. $8 (1 0^{4}) (56)$
C. $\frac{( 1 0 ^{5} ) ( 56 )}{8}$
D. $\frac{( 1 0 ^{6} ) ( 56 )}{8}$
E. $\frac{( 1 0 ^{7} ) ( 56 )}{8}$

Explanation	Calculations	Help
$We first name the variable for the total number of water bodies in Region Y.$	$W = total number of water bodies in Region Y$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the statement "56 lakes designated as protected habitats, which is 0.0008 percent of its total water bodies" into an equation.$	$56 = \frac{0.0008}{100} \times W$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We isolate the total number of water bodies by dividing both sides by the percentage coefficient.$	$W = \frac{56}{\frac{0.0008}{100}}$	Theory & Tactics Method Card EQUA0-D Click to view full details
$We convert the percentage fraction in the denominator to scientific notation.$	$\frac{0.0008}{100} = 0.000008 = 8 \times 1 0^{- 6}$	Theory & Tactics Method Card FDPR3-C Click to view full details
$We simplify the expression and express the result in scientific notation to match the answer choices.$	$W = \frac{56}{8 \times 1 0 ^{- 6}} = \frac{56}{8} \times 1 0^{6} = 7 \times 1 0^{6}$	Theory & Tactics Method Card FDPR3-C Click to view full details

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D