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 evaluate 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 = 0.6 × 10 = 6 apples are red.

2. If there are 60 apples in the basket, 60 are red.
   False.
   60% of 60 apples = 0.6 × 60 = 36 apples are red, not 60.

3. If there are 60 apples in the basket, 100 are red.
   False.
   You cannot have more red apples than the total number of apples. If there are 60 apples, the maximum number of red apples can only be 60.

4. If there are 100 apples in the basket, 10 are red.
   False.
   60% of 100 apples = 0.6 × 100 = 60 apples are red, not 10.

5. If there are 100 apples in the basket, 60 are red.
   True.
   60% of 100 apples = 0.6 × 100 = 60 apples are red.

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.