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)

Responses

not enough information
not enough information

35
Start Fraction 3 over 5 End Fraction

45
Start Fraction 4 over 5 End Fraction

310

1 answer

Let's break down the problem step by step to find the fraction of the total apples picked that were sold as fresh fruit.

  1. Identify variables: Let \( X \) be the total number of apples picked.

  2. Defective apples: Sara discarded 110 defective apples. Therefore, the number of apples remaining after discarding the defective ones is: \[ X - 110 \]

  3. Cider apples: Out of the remaining apples, 300 were made into cider. This means the number left that were sold as fresh fruit is: \[ (X - 110) - 300 = X - 410 \]

  4. Fraction of apples sold as fresh fruit: We need to find the fraction of the total apples picked that were sold as fresh fruit: \[ \text{Fraction} = \frac{\text{Number of apples sold as fresh fruit}}{\text{Total apples picked}} = \frac{X - 410}{X} \]

  5. To evaluate this fraction: We can simplify it: \[ \frac{X - 410}{X} = 1 - \frac{410}{X} \]

  6. Choices evaluation: We can't find the exact value of the fraction without knowing \( X \), the total number of apples picked. However, we understand from here that the fraction will depend on \( X \).

Since no specific total \( X \) was provided, we can't calculate a numerical answer. Therefore, the most appropriate answer from the options given would be "not enough information", as we can't definitively calculate the fraction of apples sold as fresh fruit without knowing the total number of apples picked.