Explanation

We are talking about two bonuses, which we can call E and F. We need to find . We might get the actual values of both variables, or else obtain a value for the expression itself without knowing E and F exactly. On to the data statements, separately first.

Statement (1) indicates that . It's a nice piece of data, but altogether we have one equation and two variables, so we can't solve exhaustively. Further, we have no way to express . Insufficient.

Statement (2) tells us that . This information narrows the field of possibilities, but leaves open plenty. We could have or , each yielding a different answer to the question, so we do not have sufficient data to answer the question definitively. Insufficient.

When we combine the statements, we are narrowing the possibilities further. Both statements are true so and . We can substitute for E in the inequality and get







This still allows different values of F, and hence of . If that's not yet clear, it's an extra time expenditure but not terrible to finish this calculation. 25 goes into 100 four times, so it goes into 2100 a total of 4 x 21 = 84 times. 2.5 goes into it 10 times as many times, so 840. On the right side of the inequality we get 1120. Fernanda's bonus could be 841, 850, 1000, etc, with correspondingly different values for Elaina's bonus and for the total of their bonuses. The correct answer is (E).

To consider a twist on the question: if we knew that both bonuses were paid in $500 bills, then the condition would narrow F to one unique possibility, 1000, and the statements would be sufficient when taken together.

Again, in this question, the correct answer is (E).