A 2 min read

Solution

Steps 1 & 2: Understand Question and Draw Inferences

In this question, we are given

• Jack picked 76 apples.
• Of these 76 apples, he sold 4y apples to Juanita and 3t apples to Sylvia (y and t are positive integers).
• After selling them, Jack kept the remaining apples.

We need to determine

• The number of apples that Jack kept with himself.

As Jack sold 4y and 3t apples from a total of 76 apples, he is left with 76 – (4y + 3t) apples.

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

With this understanding, let us now analyse the individual statements.

Step 3: Analyse Statement 1

As per the information given in statement 1, y ≥ 15 and t = 2.

• From this statement, we know the exact value of t.
• However, from the given range of y ≥ 15, we cannot determine the exact value of y.
  • For example, if y = 15, number of apples left = 76 – 4 × 15 – 3 × 2 = 10
  • Alternatively, if y = 16, number of apples left = 76 – 4 × 16 – 3 × 2 = 6

As we don’t know the exact value of y, statement 1 is not sufficient to answer the question.

Step 4: Analyse Statement 2

As per the information given in statement 2, y = 17.

• However, from this statement, we cannot determine the exact value of t.

Hence, statement 2 is not sufficient to answer the question.

Step 5: Combine Both Statements Together (If Needed)

Combining the information from both statements, we can say

• y = 17 and t = 2

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

Hence, the correct answer choice is option C.

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