State X has 77 acres designated as wilderness, which is

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?

A.  3(10^4)(77)

B.  3(10^6)(77)

C.  \frac{(10^2)(77)}{3}

D.  \frac{(10^4)(77)}{3}

E.  \frac{(10^6)(77)}{3}

Source: GMAT Focus Prep

Bunuel · Answer

Can you please share the source of the question? Thank you!

nishajangir · Answer

0.0003/100*T
0.000003*T=77
T= 77/0.000003
T= 77*10^6/3

Kinshook · Answer

Victor314

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

The total acreage of State X =  \frac{77}{.0003%} = \frac{7700}{.0003} = \frac{77000000}{3} = \frac{10^6*77}{3}

IMO E

Luisfgl · Answer

Bunuel 
I got it in the OG Practice Test #4

Bunuel · Answer

_______________________
Thank you. Updated the tag.

GMATinsight · Answer

Wilderness = (0.00003/100)*Total Acerage
i.e. Total Acerage = Wilderness * 1000/0.0003 =  77*10^2/(3*10^{-4}) = 77*10^6/3

Answer: Option E

RobertVericPrep · Answer

You always want to turn a sentence into an equation if possible. The big trap here, though, is that 0.0003 "percent" means you add two more decimals spaces to .0003, i.e the number is actually .000003, which is 3/1,000,000 which is 3/10^6

Let the total acreage be x. Our equation is

77 = (3/10^6)x

multiply both sides by 10^6

77(10^6) = 3x

x = 77(10^6)/3

Answer E

Let the total acreage be x. Our equation is

77 = (3/10^6)x

multiply both sides by 10^6

77(10^6) = 3x

x = 77(10^6)/3

Answer E

State X has 77 acres designated as wilderness, which is

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State X has 77 acres designated as wilderness, which is

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