Employee X's annual salary is 12,000USD more than ... | Free GMAT Practice Question | GMAT Panda

👋 Hi! I'm GMAT Panda. Ask me anything about this question, or click a button below to get started!

Question

Employee X's annual salary is 12,000USD more than half of Employee Y's annual salary. Employee Z's annual salary is 15,000USD more than half of Employee X's annual salary. If Employee X's annual salary is 27,500, which of the following lists these three people in order of increasing annual salary?

Answer Choices

A. $Y, Z, X$
B. $Y, X, Z$
C. $Z, X, Y$
D. $X, Y, Z$
E. $X, Z, Y$

Steps

Explanation	Calculations	Help
$We name variables for each employee's annual salary.$	$X = Employee X’s annual salary Y = Employee Y’s annual salary Z = Employee Z’s annual salary$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the relationship for Employee X using the phrase "Employee X’s annual salary is 12,000USD more than half of Employee Y’s annual salary" .$	$X = \frac{1}{2} Y + 12000$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details Theory & Tactics Method Card TRANS2-B Click to view full details
$We substitute the known value of X into the equation and solve for Y.$	$27500 = \frac{1}{2} Y + 12000 27500 - 12000 = \frac{1}{2} Y 15500 = \frac{1}{2} Y Y = 31000$	Theory & Tactics Method Card EQUA3-A Click to view full details Theory & Tactics Method Card EQUA1-A Click to view full details
$We translate the relationship for Employee Z using the phrase "Employee Z’s annual salary is 15,000USD more than half of Employee X’s annual salary" .$	$Z = \frac{1}{2} X + 15000$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details Theory & Tactics Method Card TRANS2-B Click to view full details
$We substitute the known value of X into the equation and solve for Z.$	$Z = \frac{1}{2} \times 27500 + 15000 Z = 13750 + 15000 Z = 28750$	Theory & Tactics Method Card EQUA3-A Click to view full details Theory & Tactics Method Card EQUA1-A Click to view full details
$We compare the salaries of X, Z, and Y to find the order from smallest to largest.$	$27500 < 28750 < 31000$

Scroll horizontally to view all columns

Final Answer

X, Z, Y

Question

Employee X's annual salary is 12,000USD more than half of Employee Y's annual salary. Employee Z's annual salary is 15,000USD more than half of Employee X's annual salary. If Employee X's annual salary is 27,500, which of the following lists these three people in order of increasing annual salary?

Answer Choices

A. $Y, Z, X$
B. $Y, X, Z$
C. $Z, X, Y$
D. $X, Y, Z$
E. $X, Z, Y$

Steps

Explanation	Calculations	Help
$We name variables for each employee's annual salary.$	$X = Employee X’s annual salary Y = Employee Y’s annual salary Z = Employee Z’s annual salary$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the relationship for Employee X using the phrase "Employee X’s annual salary is 12,000USD more than half of Employee Y’s annual salary" .$	$X = \frac{1}{2} Y + 12000$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details Theory & Tactics Method Card TRANS2-B Click to view full details
$We substitute the known value of X into the equation and solve for Y.$	$27500 = \frac{1}{2} Y + 12000 27500 - 12000 = \frac{1}{2} Y 15500 = \frac{1}{2} Y Y = 31000$	Theory & Tactics Method Card EQUA3-A Click to view full details Theory & Tactics Method Card EQUA1-A Click to view full details
$We translate the relationship for Employee Z using the phrase "Employee Z’s annual salary is 15,000USD more than half of Employee X’s annual salary" .$	$Z = \frac{1}{2} X + 15000$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details Theory & Tactics Method Card TRANS2-B Click to view full details
$We substitute the known value of X into the equation and solve for Z.$	$Z = \frac{1}{2} \times 27500 + 15000 Z = 13750 + 15000 Z = 28750$	Theory & Tactics Method Card EQUA3-A Click to view full details Theory & Tactics Method Card EQUA1-A Click to view full details
$We compare the salaries of X, Z, and Y to find the order from smallest to largest.$	$27500 < 28750 < 31000$

Scroll horizontally to view all columns

Final Answer

X, Z, Y