Carcass wrote:

A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 100 feet of lake frontage. If 1/9 of the lots are to have 80 feet of frontage each and the remaining 40 lots are to have 100 feet of frontage each, what is the value of x?

A) 400

B) 3,200

C) 3,700

D) 4,400

E) 4,760

Side question: Why is this developer so vague with the lake frontage numbers? Seems a little shady if you ask me

Here's

a super fast approachGIVEN:

....the remaining 40 lots are to have 100 feet of frontage each(40)(100 ft) =

4000 ft.

So, the lake frontage must be longer than

4000 ft.

ELIMINATE A, B, and C

Let's check the 2 remaining answer choices...

D) The TOTAL length of the lakefront (aka x) is

4400 feet

4000 feet is comprised of 100-foot lots

4400 -

4000 = 400.

So, the other 400 feet is comprised of 80-foot lots.

This means there are 5 80-foot lots.

Looks okay.

E) The TOTAL length of the lakefront (aka x) is

4760 feet

4760 -

4000 = 760.

So, the other 760 feet is comprised of 80-foot lots.

Since 80 feet does not divide into 760 feet,

answer choice E is impossible.

ELIMINATE E

By the process of elimination, the correct answer is E

Cheers,

Brent

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Brent Hanneson – Creator of greenlighttestprep.com

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