Sixty percent of the apples in a basket are red. Which statements are true?

Question

If there are 10 apples in the basket, 6 are red.
If there are 60 apples in the basket, 60 are red.
If there are 60 apples in the basket, 100 are red.
If there are 100 apples in the basket, 10 are red.
If there are 100 apples in the basket, 60 are red.

Answer 1

Let's analyze each statement based on the information that 60% of the apples in the basket are red.

1. If there are 10 apples in the basket, 6 are red.

   • True. 60% of 10 apples is \(0.6 \times 10 = 6\).

2. If there are 60 apples in the basket, 60 are red.

   • False. 60% of 60 apples is \(0.6 \times 60 = 36\), not 60.

3. If there are 60 apples in the basket, 100 are red.

   • False. There cannot be 100 red apples if there are only 60 apples total.

4. If there are 100 apples in the basket, 10 are red.

   • False. 60% of 100 apples is \(0.6 \times 100 = 60\), not 10.

5. If there are 100 apples in the basket, 60 are red.

   • True. 60% of 100 apples is \(0.6 \times 100 = 60\).

So, the true statements are:

• If there are 10 apples in the basket, 6 are red.
• If there are 100 apples in the basket, 60 are red.