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GMAT Quant — Applied Mathematics (Word Problems)

State X has 77 acres designated as wilderness, which is 0.0003 percent of its total acreage. Which of the following expresses the total acreage of State X ?

A. $3 (1 0^{4}) (77)$
B. $3 (1 0^{6}) (77)$
C. $\frac{( 1 0 ^{2} ) ( 77 )}{3}$
D. $\frac{( 1 0 ^{4} ) ( 77 )}{3}$
E. $\frac{( 1 0 ^{6} ) ( 77 )}{3}$

Explanation	Calculations	Help
$We first choose a variable for the total acreage of State X.$	$T = total acreage of State X$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the statement "77 acres designated as wilderness, which is 0.0003 percent of its total acreage" into an equation.$	$77 = \frac{0.0003}{100} \times T$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We isolate the total acreage by dividing both sides by the percentage coefficient.$	$T = \frac{77}{\frac{0.0003}{100}}$	Theory & Tactics Method Card EQUA0-D Click to view full details
$We simplify the percentage fraction in the denominator to scientific notation.$	$\frac{0.0003}{100} = 0.000003 0.000003 = 3 \times 1 0^{- 6}$	Theory & Tactics Method Card FDPR3-C Click to view full details
$We then simplify and express the total acreage in scientific notation.$	$T = \frac{77}{3 \times 1 0 ^{- 6}} = \frac{77}{3} \times 1 0^{6}$	Theory & Tactics Method Card FDPR3-C Click to view full details

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E

GMAT Quant — Applied Mathematics (Word Problems)

State X has 77 acres designated as wilderness, which is 0.0003 percent of its total acreage. Which of the following expresses the total acreage of State X ?

A. $3 (1 0^{4}) (77)$
B. $3 (1 0^{6}) (77)$
C. $\frac{( 1 0 ^{2} ) ( 77 )}{3}$
D. $\frac{( 1 0 ^{4} ) ( 77 )}{3}$
E. $\frac{( 1 0 ^{6} ) ( 77 )}{3}$

Explanation	Calculations	Help
$We first choose a variable for the total acreage of State X.$	$T = total acreage of State X$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the statement "77 acres designated as wilderness, which is 0.0003 percent of its total acreage" into an equation.$	$77 = \frac{0.0003}{100} \times T$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We isolate the total acreage by dividing both sides by the percentage coefficient.$	$T = \frac{77}{\frac{0.0003}{100}}$	Theory & Tactics Method Card EQUA0-D Click to view full details
$We simplify the percentage fraction in the denominator to scientific notation.$	$\frac{0.0003}{100} = 0.000003 0.000003 = 3 \times 1 0^{- 6}$	Theory & Tactics Method Card FDPR3-C Click to view full details
$We then simplify and express the total acreage in scientific notation.$	$T = \frac{77}{3 \times 1 0 ^{- 6}} = \frac{77}{3} \times 1 0^{6}$	Theory & Tactics Method Card FDPR3-C Click to view full details

Scroll horizontally to view all columns

E