BTGModeratorVI wrote: ↑Sat May 16, 2020 7:30 am
If r − s = 240, does r = 320?
(1) r = 4s
(2) s = 80
Answer:
D
Source: Princeton Review
Given: r − s = 240
Target question: Does r = 320?
Statement 1: r = 4s
When we add this information to our given information we have two equations:
r − s = 240
r = 4s
There are several different approaches we can take from here.
One approach this to recognize that, since we have a system of 2 linear equations with 2 variables, we COULD solve the system for r and for s, which means we COULD answer the
target question with certainty.
So, statement 1 is SUFFICIENT
---------
Another approach is to actually solve the system. How to do that also (for "fun")
Take:
r − s = 240
Replace r with 4s to get: 4s - s = 240
Simplify to get: 3s = 240
Divide both sides by 3 to get: s =
80
Now take r = 4s, and replace s with
80 to get: r = 4(
80) = 320
So,
r = 320
So, statement 1 is SUFFICIENT
Statement 2: s = 80
Take the given equation,
r − s = 240, and replace s with 80 to get:
r − 80 = 240
Solve the equation to get
r = 320
So, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
