Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia

Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers)

  1. y ≥ 15 and t = 2
  2. y = 17

Answer

As Jack sold 4y and 3t apples from a total of 76 apples,

Apples left = 76 - (4y + 3t)

Hence, to determine the number of apples left, you need to know the values of both y and t or 4y +3t.

Statement 1: y ≥ 15 and t = 2

However, from the given range of y ≥ 15, you cannot determine the exact value of y. Thus, statement 1 is not sufficient to answer the question.

Statement 2: y = 17

From this statement, you cannot determine the exact value of t. Hence, statement 2 is not sufficient to answer the question.

Combine Both Statements Together

y = 17 and t = 2

As you know the values of both y and t, you can determine the number of apples left with Jack.

The correct option is C.