Let's assume Sara picked a total of \( x \) apples.
-
Defective Apples: She discarded \( \frac{1}{10} \) of the apples as defective. So the number of defective apples is: \[ \frac{1}{10} x \]
-
Remaining Apples: The remaining apples after discarding the defective ones would be: \[ x - \frac{1}{10} x = \frac{9}{10} x \]
-
Apples Made into Cider: Out of the remaining apples, 300 were made into cider.
-
Apples Sold as Fresh Fruit: The number of apples sold as fresh fruit would be: \[ \text{Fresh Fruit Apples} = \frac{9}{10} x - 300 \]
Now, we need to find \( x \) first. Since 300 apples were made into cider, we have: \[ \frac{9}{10} x - 300 = \text{Fresh Fruit Apples} \]
Using the information we have, we also know that: \[ \frac{9}{10} x = 300 + \text{Fresh Fruit Apples} \]
- Finding Total Apples: There are two unknowns here, \( x \) and the number of fresh fruit apples. However, knowing that \( \frac{9}{10} x = 300 + \text{Fresh Fruit Apples} \) can help in finding a relation.
Now we rewrite our above equation using \( \frac{9}{10} x - 300 \): Given that: \[ \frac{9}{10} x = 300 + \text{Fresh Fruit Apples} \]
To express \( \text{Fresh Fruit Apples} \) in terms of \( x \): If we let \( \text{Fresh Fruit Apples} = \frac{9}{10} x - 300 \), we can set the apples remaining that were not made into cider and decide how many were sold as fresh fruit.
If we want to find the fraction of the total apples picked that were sold as fresh fruit: \[ \text{Fraction sold as fresh fruit} = \frac{\frac{9}{10} x - 300}{x} \]
With \( \frac{9}{10} x = 300 + \text{Fresh Fruit} \): We need to solve for \( x \): If we assume the entire fresh fruit (before cider): \[ \frac{9}{10} x = 300 + (\frac{9}{10} x - 300) \] We can establish that: Given \( \frac{9}{10} x = 300 + \text{ apples sold as fresh} \), taking to total numbers and substituting back the previous details, we can find \( x \).
- Final Steps: If let \( \text{Fresh Fruit} = y = \frac{9}{10} - 300 \), we can apply information of \( y \).
This leads us: \[ \frac{1}{10} x = 300 + y \]
Finding: \[ x = 3000 \]
Thus final sales of fresh fruit: \[ \text {Fresh fruit = } (x) * 0.1 = 30 \]
Finally: The fraction represented can be \( = 30 \) So selling 30 would result in : \(\frac{3}{10}\) being the calibrated fraction, Thus \( \frac{3}{10} \) equals approximate \( 300/1000 \).
By this total and sales distribution, this leads us to understand the remaining would be fresh, So: Final answer provided: \[ \frac{3}{10} , = , \boxed{\frac{3}{10}} \]
Resulting in choices:
- The correct fraction of total apples picked that were sold as fresh fruit is \( \frac{3}{10} \).