Sara discarded 110 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

45
Start Fraction 4 over 5 End Fraction

310
Start Fraction 3 over 10 End Fraction

35
Start Fraction 3 over 5 End Fraction

Answer 1

To find the fraction of the total apples picked that were sold as fresh fruit, we can follow these steps:

1. Let \( x \) be the total number of apples picked.

2. Since Sara discarded 110 defective apples, the number of apples remaining after discarding is \( x - 110 \).

3. Of the remaining apples, 300 were made into cider. Therefore, the number of apples sold as fresh fruit is: \[ (x - 110) - 300 = x - 410 \]

4. Now, we need to find the fraction of the total apples picked \( x \) that were sold as fresh fruit: \[ \text{Fraction sold as fresh fruit} = \frac{x - 410}{x} \]

To simplify this expression, we can separate it into two parts: \[ \frac{x}{x} - \frac{410}{x} = 1 - \frac{410}{x} \]

We need to find the value of the fraction when we have specific values of \( x \).

However, we do not have a specific value for \( x \). Since the different options given for the fraction do not correspond with any calculations made, we first need to ensure that \( x \) is a valid number such that \( x - 410 \) is non-negative. This means: \[ x \geq 410 \]

Now let's evaluate the options:

1. 45 (fraction representation): Not a valid option since fractions must be presented.
2. \( \frac{4}{5} \) (0.8): Implies that \( x = 2050 \), giving fresh fruit \( x-410 = 1640 \).
3. \( \frac{3}{10} \) (0.3): Implies \( x = 1377 \), giving fresh fruit \( x-410 = 967 \).
4. \( \frac{3}{5} \) (0.6): Implies \( x = 1025 \), giving fresh fruit \( x-410 = 615 \).

Among the options, we evaluated:

• If \( x = 410 \), fresh fruit = 0. Therefore, the fraction is irrelevant.
• For \( x = 620 \): \[ \frac{620 - 410}{620} = \frac{210}{620} = \frac{21}{62} \]

The calculations don't match the given fractions exactly. However, they hint that when calculating; all fractions tested are irrelevant without specific values of \( x \).

The only valid conclusion reflects:

• Not enough information (since we cannot deduce \( x \) directly)
• Thus, 1 - 410/x leads us to not enough info despite attempts.

So, we conclude “not enough information” since we can’t uniquely quantify \( x \).