Let \( x \) be the total number of apples picked.
Sara discarded \( \frac{1}{10} \) of her apples, which means she discarded \( \frac{x}{10} \) apples.
The number of apples remaining is: \[ x - \frac{x}{10} = \frac{10x}{10} - \frac{x}{10} = \frac{9x}{10} \]
Of the apples remaining, 300 were made into cider. Therefore, the number of apples sold as fresh fruit is: \[ \frac{9x}{10} - 300 \]
Now we need to find what fraction of the total apples \( x \) were sold as fresh fruit.
The fraction of the total apples sold as fresh fruit is: \[ \frac{\frac{9x}{10} - 300}{x} \]
We can simplify this expression: \[ \frac{9x}{10x} - \frac{300}{x} = \frac{9}{10} - \frac{300}{x} \]
We need to find the value of \( x \) where the number of apples made into cider (300) fits into this expression. Since we need enough information to solve for \( x \):
- Set \( \frac{9x}{10} - 300 = 0 \): \[ \frac{9x}{10} = 300 \] \[ 9x = 3000 \] \[ x = \frac{3000}{9} \approx 333.33 \]
This means that \( x \) is not an integer, which does not change the possible fractions and their possibility to be chosen.
Using the expression we derived for the fraction of apples sold as fresh fruit: \[ \frac{\frac{9x}{10} - 300}{x} = \frac{8}{10} \text{ when substituting any of the related values} \]
The initially simplified fraction gives: \[ \frac{9}{10} - \frac{300}{x} \]
To find a fraction representing our answer, we evaluate the remaining calculation based on the viable \( x \): \[ \frac{9}{10} - \frac{300}{x} \]
We can rearrange and analyze fresh fruit sales more simply.
The only choice that represents a valid fraction from given responses is based on equivalent calculations leading: \[ (as applied accurately later) \]
Thus the correct option is: \(\frac{3}{5}\)
So the answer is: \(\frac{3}{5}\)
2 answers