From the original, we have no info at all, so we need to just jump into the statements.linfongyu wrote:Four dollar amounts, w, x, y, and z, were invested in a business. Which amount was greatest?
1. y < z < x
2. x was 25 percent of the total of the four investments.
OA to follow shortly.
(1) nothing about w, so insufficient.
(2) nothing about the relationship bewteen x and the other amounts, so insufficient (and not a big enough % for x; for example if we knew that x was 51% of the total, (2) would have been sufficient alone).
Together:
From (1), we know that either x or w is the biggest amount.
From (2), we know that x is exactly 25%.
Well, if x is bigger than y and z, then each of them must be less than 25%.
So, since w + x + y + z = 100%, we can substitute in:
w + 25% + (less than 25%) + (less than 25%) = 100
and solving for w:
w = 75% - (less than 50%)
Accordingly, w must be more than 25% and is the greatest amount: choose C.
