Sara discarded 1/10 of the apples she picked as defective. Of the apples remaining, 300 were made into cider. The rest were sold as fresh fruit. What fraction of the total apples picked were sold as fresh fruit?(1 point)

Question

Responses

not enough information
not enough information

35
Start Fraction 3 over 5 End Fraction

3/10
3/10

4/5

Answer 1

Let's denote the total number of apples picked by Sara as \( x \).

1. Sara discarded \( \frac{1}{10} \) of the apples, which is \( \frac{x}{10} \).
2. The number of apples remaining after discarding the defective ones is: \[ x - \frac{x}{10} = \frac{10x}{10} - \frac{x}{10} = \frac{9x}{10} \]
3. Of the remaining apples, 300 were made into cider. Therefore, the number of apples sold as fresh fruit is: \[ \frac{9x}{10} - 300 \]
4. We need to find out the fraction of the total apples picked that were sold as fresh fruit. Thus, we start by representing the number of fresh fruit sold as a fraction of the total apples: \[ \text{Fraction sold as fresh fruit} = \frac{\frac{9x}{10} - 300}{x} \]
5. Simplifying this expression yields: \[ \text{Fraction sold as fresh fruit} = \frac{9x - 3000}{10x} = \frac{9 - \frac{3000}{x}}{10} \]

To find the fraction, we need to establish a relationship for \( x \). Since we know that there were remaining apples after discarding, we can set \( \frac{9x}{10} = 300 + \text{(number of apples sold as fresh fruit)} \).

This means: \[ \frac{9x}{10} = 300 + \frac{9x}{10} - 300 \quad \text{(do not require fresh fruit)} \]

However, without a specific number of total apples picked \( x \), we cannot derive a specific answer.

Now let's find how many apples were sold as fresh fruit. Rearranging gives: \[ \frac{9x}{10} - 300 = \text{(number of apples sold)} \]

To get a specific fraction, we can note that it is evident some calculations were previously established: Let’s figure it out with examples, knowing \( \frac{9x}{10} \) must account for surgically necessary outputs.

As it stands, using fillers for \( x \): If we set \( x = 1000 \) (then \( \frac{1}{10} \) loss is 100, resultant \( \frac{900}{10} - 300 = 600 = \frac{600}{1000} = 60% \)); logically, the check suggests 600 when \( x \to 900 \) precise addresses therefore: \[ \frac{6}{10}, \frac{3}{5} \]

Thus, the correct and final fraction of the total apples picked that were sold as fresh fruit is \( \frac{3}{10} \).

Final Response: \( \frac{3}{10} \)