State X has 77 acres designated as wilderness, which is 0.0003 percent of its total acreage....

Question

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 ?

GMAT Panda · Accepted Answer

E We first choose a variable for the total acreage of State X. T = total acreage of State X We translate the statement "77 acres designated as wilderness, which is 0.0003 percent of its total acreage" into an equation. 77 = 0.0003/100 T We isolate the total acreage by dividing both sides by the percentage coefficient. T = 770.0003/100 We simplify the percentage fraction in the denominator to scientific notation. 0.0003/100 = 0.000003 0.000003 = 3 10^-6 We then simplify and express the total acreage in scientific notation. T = 773 10^-6 = 77/3 10^6

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$We first choose a variable for the total acreage of State X.$	$T = total acreage of State X$
$We translate the statement "77 acres designated as wilderness, which is 0.0003 percent of its total acreage" into an equation.$	$77 = \frac{0.0003}{100} \times T$
$We isolate the total acreage by dividing both sides by the percentage coefficient.$	$T = \frac{77}{\frac{0.0003}{100}}$
$We simplify the percentage fraction in the denominator to scientific notation.$	$\frac{0.0003}{100} = 0.000003 0.000003 = 3 \times 1 0^{- 6}$
$We then simplify and express the total acreage in scientific notation.$	$T = \frac{77}{3 \times 1 0 ^{- 6}} = \frac{77}{3} \times 1 0^{6}$

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