Sara discarded 1/10 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
If Sara discarded 1/10 of the apples she picked, then 1 - 1/10 = 9/10 of the apples remained.
Out of the remaining apples, 300 were made into cider, so 9/10 - 300/total number of apple = fresh fruit
We can combine the terms on the left side of the equation to get 10/10 - 300/total number of apples = fresh fruit.
Simplifying the left side of the equation results in 1 - 300/total number of apples = fresh fruit
We can then isolated the fresh fruit fraction by subtracting 1 from both sides to find fresh fruit = 1 - (1 - 300/total number of apples) = 1 - 1 + 300/total number of apples = <<1-1+300/total=300/total>>300/total.
Therefore, the fraction of the total apples picked that were sold as fresh fruit is 300/total. Answer: \boxed{\frac{300}{\text{total}}}
To find the fraction of the total apples picked that were sold as fresh fruit, we need to determine the remaining fraction of apples after discarding the defective ones and making cider.
Let's break down the problem step by step:
1. Start with the whole quantity of apples picked.
2. Sara discarded 1/10 of the apples as defective. This means that 1 - 1/10 = 9/10 of the apples remained after discarding the defective ones.
3. Out of the remaining apples, 300 were made into cider. Therefore, the fraction of apples used for cider is 300 divided by the total remaining apples, which is 9/10. This can be calculated as (300 / (9/10)) = 300 * (10/9) = 333.33 (approx).
To find the fraction of the total apples picked that were sold as fresh fruit, we need to subtract the fraction used for cider from the remaining fraction, which is 9/10. So, 9/10 - 333.33 (approx) = 9/10 - 333.33/1000 = 900/1000 - 333.33/1000 = 566.67/1000 (approx).
Therefore, the fraction of the total apples picked that were sold as fresh fruit is 566.67/1000 (approx).
To find the fraction of the total apples picked that were sold as fresh fruit, we need to determine how many apples were left after Sara discarded 1/10 of them.
Let's assume Sara picked x number of apples.
Since Sara discarded 1/10 of the apples as defective, the number of apples remaining will be 1 - 1/10 = 9/10 of the total picked apples.
Therefore, the number of apples remaining after discarding the defective ones is (9/10) * x.
Out of these remaining apples, 300 were made into cider. So, the number of apples sold as fresh fruit will be the remaining apples minus the ones used for cider, which is:
(9/10)x - 300.
To get the fraction of the total apples picked that were sold as fresh fruit, we divide the number of apples sold as fresh fruit by the total number of apples picked:
[(9/10)x - 300] / x.
Simplifying this expression, we get:
(9x/10 - 300) / x.
Now, let's simplify it further:
(9x - 300x) / 10x.
Since we're looking for the fraction, we can cancel out the x's:
(9 - 300) / 10.
Finally, evaluating this expression:
-291 / 10.
So, the fraction of the total apples picked that were sold as fresh fruit is -291/10.