The contents of a certain box consist of 14 apples and 23 oranges. How many oranges must be removed from the box so that 70% of the pieces of fruit in the box will be apples?Options15161718

Sure, let's solve this step by step:

1. First, let's find out how many pieces of fruit are in the box. We know there are 14 apples and 23 oranges, so in total there are 14 + 23 = 37 pieces of fruit.

2. We want 70% of the fruit to be apples. To find out how many apples that would be, we multiply the total number of fruit by 70% (or 0.7). So, 37 * 0.7 = 25.9. Since we can't have a fraction of a fruit, we'll round this up to 26. This means we need 26 apples in the box for them to make up 70% of the total fruit.

3. We already have 14 apples in the box, so we don't need to add or remove any apples.

4. However, we do need to adjust the number of oranges. To find out how many oranges we need to remove, we subtract the number of apples we need (26) from the total number of fruit (37). So, 37 - 26 = 11. This means we need 11 oranges in the box.

5. We currently have 23 oranges, so to get down to 11 oranges, we need to remove 23 - 11 = 12 oranges.

So, the answer is that 12 oranges must be removed from the box.

To solve this problem, we first need to determine the total number of fruits in the box.

Step 1: Add the number of apples and oranges to find the total number of fruits. 14 apples + 23 oranges = 37 fruits

Step 2: We want 70% of the fruits to be apples. So, we calculate what number is 70% of the total number of fruits. 70/100 * 37 = 25.9

Since we can't have a fraction of a fruit, we round this up to 26. This means we want to have 26 apples in the box.

Step 3: Since we already have 14 apples, we don't need to add or remove any apples. We need to adjust the number of oranges instead.

Step 4: Subtract the number of apples we want (26) from the total number of fruits (37) to find out how many oranges we should have. 37 - 26 = 11 oranges

Step 5: Now, subtract the number of oranges we want (11) from the number of oranges we currently have (23) to find out how many oranges we need to remove. 23 - 11 = 12 oranges

So, we need to remove 12 oranges from the box. However, this option is not available in the given options. There might be a mistake in the problem or the options provided.