we know that a is +ve hence the expression 3a is +ve since +ve * +ve = +ve for the same reason 2b is also +ve and equal to 3a.

So what's the final answer for the question?

Quantity B

a:b = 2:3 here a= 2, b= 3
sub in Quantity A = a+5/b=5

= 2+5/3+5

= 7/8 = 0.87

Quantity B = 1 ( B is greater ) 0.87 < 1

Thanks y'all

Posted from my mobile device

GIVEN: a : b = 2 : 3
In other words: a/b = 2/3

NOTE: Since a is positive, we can be certain that b is also positive

From here, we can solve this question using matching operations

Given:
Quantity A: \(\frac{a+5}{b+5}\)
Quantity B: 1

Since b is positive, we know that b+5 is positive, which means we can safely multiply both quantities by b+5 to get:
Quantity A: a + 5
Quantity B: b + 5

Subtract 5 from both quantities to get:
Quantity A: a
Quantity B: b

Divide both quantities by b to get:
Quantity A: a/b (which we already know is equal to 2/3)
Quantity B: 1

Answer: B

Cheers,
Brent

RELATED VIDEO FROM MY COURSE

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.