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 - founder of Greenlight Test Prep