Vincen wrote: ↑Fri Jun 18, 2021 7:36 am
If Ann saves \(x\) dollars each week and Beth saves \(y\) dollars each week, what is the total amount that they save per week?
(1) Beth saves \(\$5\) more per week than Ann saves per week.
(2) It takes Ann \(6\) weeks to save the same amount that Beth saves in \(5\) weeks.
Answer:
C
Source: Official Guide
Given: Ann saves x dollars each week and Beth saves y dollars each week
Statement 1: Beth saves $5 more per week than Ann saves per week
We can write:
y = x + 5
Since this equation does not provide it sufficient information to find the value of
x + y, statement 1 is NOT SUFFICIENT
Statement 2: It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks.
We can write:
6x = 5y
Since this equation does not provide it sufficient information to find the value of
x + y, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
When we combine the two statements we get to the following system of equations:
y = x + 5
6x = 5y
Since we have two different linear equations with two variables, we COULD solve the system for x and y, which means we COULD answer the
target question with certainty (although we would never waste precious time on test day actually calculating the value of
x + y)
Since we COULD answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
