Question

If there are 30 apples and 20 bananas for a fruit basket, what are all the possible ratios of apples to bananas?

1) 2:3
2) 3:2
3) 4:5
4) 5:4

Answer 1

The question seeks the possible ratios of apples to bananas from given quantities of fruit. The correct ratio, after simplifying with the GCD, is 3:2, making option 2) the right answer.

Step-by-step explanation:

The question is asking for all the possible ratios of apples to bananas given 30 apples and 20 bananas. The key aspect here is understanding ratios and how to simplify them. To find the possible ratios of apples to bananas, you need to divide both quantities by their greatest common divisor (GCD).

In this case, the GCD of 30 (apples) and 20 (bananas) is 10. So, when we divide both numbers by 10, the ratio of apples to bananas simplifies to 3:2. This ratio means that for every 3 apples, there are 2 bananas.

Let's examine the given options:

• Option 1) 2:3 is the inverse of the correct ratio and does not represent the ratio of apples to bananas in the given quantities.
• Option 2) 3:2 is the correct simplified ratio of apples to bananas.
• Option 3) 4:5 does not represent the ratio of the given quantities of apples and bananas.
• Option 4) 5:4 does not represent the ratio of the given quantities of apples and bananas.

Therefore, the correct answer is option 2) 3:2, which is the ratio of apples to bananas.