If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y?
1. 156
2. 397
3. 533

Correct answer marked below

I only

II only

III only

Correct

I and II

II and III

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What this question tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.

If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y?1. 1562. 3973. 533