Sarah 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
Let's assume Sarah picked a total of x apples.
Sarah discarded 1/10 of the apples, so the number of apples remaining is x - 1/10 * x = 9/10 * x.
Out of these remaining apples, 300 were made into cider, so the number of apples sold as fresh fruit is 9/10 * x - 300.
Therefore, the fraction of the total apples picked that were sold as fresh fruit is:
(9/10 * x - 300) / x
Simplifying this fraction, we get:
(9x - 3000) / 10x
To find the fraction of the total apples picked that were sold as fresh fruit, we first need to determine the number of apples remaining after discarding the defective ones.
Let's assume that the total number of apples Sarah picked is "x".
Sarah discarded 1/10 of the apples, which means she kept 9/10 of the total apples.
Number of apples after discarding defective ones = (9/10) * x
Out of these remaining apples, 300 were made into cider.
Number of apples sold as fresh fruit = Remaining apples - Apples made into cider
Number of apples sold as fresh fruit = (9/10) * x - 300
Now, to find 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.
Fraction of apples sold as fresh fruit = (Number of apples sold as fresh fruit) / (Total number of apples picked)
Fraction of apples sold as fresh fruit = [(9/10) * x - 300] / x
Simplifying the fraction:
Fraction of apples sold as fresh fruit = (9/10) - (300/x)
Therefore, the fraction of the total apples picked that were sold as fresh fruit is given as (9/10) - (300/x).