Multiple choice

A contractor combined x tons of a gravel mixture that contained 10% gravel G by weight, with y tons of a mixture that contained 2% gravel G by weight; to produce z tons of a mixture that was 5% gravel G by weight. What is the value of x? (1) y=10 (2) z=16

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient

  3. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question

  4. EACH statement ALONE is sufficient to answer the question

  5. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The mixture problem follows the equation 0.10x + 0.02y = 0.05z, where z = x + y. Substituting z = x + y, we get 0.10x + 0.02y = 0.05(x + y), which simplifies to 0.05x = 0.03y, or 5x = 3y. Either statement (1) or (2) allows us to solve for x using this relationship.