Fahim22 wrote:
For positive number p and q,
(p+q)p=107
Quantity A |
Quantity B |
p−qq |
53 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Here are two often-tested fraction properties: a+bc=ac+bc and a−bc=ac−bcGIVEN:
(p+q)p=107Use property to rewrite left side as:
pp+qp=107Simplify:
1+qp=107Subtract 1 from both sides to get:
qp=37NOTE: If
qp=37, then
pq=73-----------------------------------------------------------
Now let's deal with the two quantities:
Quantity A:
p−qqQuantity B:
53Use property to rewrite Quantity A as:
Quantity A:
pq−qqQuantity B:
53Simplify Quantity A:
Quantity A:
pq−1Quantity B:
53Now that we know
pq=73, we can rewrite Quantity A as follows:
Quantity A:
73−1Quantity B:
53Evaluate Quantity A :
Quantity A:
43Quantity B:
53Answer: B
Cheers,
Brent