Carcass wrote:

Last year Kate spent between \(\frac{1}{4}\) and \(\frac{1}{3}\) of her gross income on her mortgage payments. If Kate spent $13,470 on her mortgage payments last year, which of the following could have been her gross income last year?

Indicate

all such gross incomes.

A) $40,200

B) $43,350

C) $47,256

D) $51,996

E) $53,808

Let's examine the

two EXTREME casesThey are:

case i: Kate spent 1/3 of her gross income on her mortgage payments

case ii: Kate spent 1/4 of her gross income on her mortgage payments

case i: Kate spent 1/3 of her gross income on her mortgage paymentsLet x = Kate's gross income last year

So, 1/3 of x = $13,470

In other words, x/3 = $13,470

Multiply both sides by 3 to get: x =

$40,410case ii: Kate spent 1/4 of her gross income on her mortgage paymentsLet x = Kate's gross income last year

So, 1/4 of x = $13,470

In other words, x/4 = $13,470

Multiply both sides by 4 to get: x =

$53,880So, Kate's gross income must be BETWEEN

$40,410 and

$53,880Answer: B, C, D, E

Cheers,

Brent

_________________

Brent Hanneson – Creator of greenlighttestprep.com

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