Applications of Multiplying Rational Numbers Quick Check

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Question
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

3/10
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4/5
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3/5
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not enough information

To find the fraction of the total apples picked that were sold as fresh fruit, we need to subtract the number of apples discarded and the number of apples made into cider from the total number of apples picked.

Total apples picked = 110 (discarded) + 300 (cider apples) + apples sold as fresh fruit

Since the question states that "the rest" were sold as fresh fruit, we can find the fraction by subtracting the number of discarded apples and the number of cider apples from the total and then dividing by the total.

Total apples picked = 110 + 300 + apples sold as fresh fruit

So, the fraction of the total apples picked that were sold as fresh fruit is:

Fraction = (Total apples picked - Discarded apples - Cider apples) / Total apples picked

Fraction = (110 + 300 + apples sold as fresh fruit - 110 - 300) / (110 + 300 + apples sold as fresh fruit)

Simplifying, we get:

Fraction = (apples sold as fresh fruit) / (apples sold as fresh fruit)

This simplifies to 1/1, which is equivalent to 1.

Therefore, 100% of the apples picked were sold as fresh fruit.

The correct answer is: not enough information

To find the fraction of the total apples picked that were sold as fresh fruit, we need to subtract the number of apples discarded and the number of apples made into cider from the total number of apples picked, and then divide that by the total number of apples picked.

Let's calculate step by step:

1. Total apples picked: 110 apples discarded + 300 apples made into cider + remaining apples.

2. Remaining apples: The remaining apples are the ones that were not discarded or made into cider.

3. To find the remaining apples, we subtract the number of discarded apples and the number of apples made into cider from the total apples picked:
Total apples picked - (discarded apples + apples made into cider) = remaining apples.

4. The fraction of the total apples picked that were sold as fresh fruit is then calculated as:
Remaining apples / Total apples picked.

Based on the given information, we can calculate the fraction:

1. Total apples picked: 110 + 300 = 410 apples.

2. Remaining apples: 410 - (110 + 300) = 410 - 410 = 0 apples.

3. The fraction of the total apples picked that were sold as fresh fruit is 0/410.

Therefore, the correct answer is "not enough information."