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?(1 point)
If Sara discarded 1/10 of the apples she picked as defective, then 9/10 of the apples remained.
Out of the apples remaining, 300 were made into cider.
The fraction of apples made into cider is 300 / 9/10 = 300 * 10/9 = <<300*10/9=333.3333333333333>>333.33...
The fraction of apples sold as fresh fruit is 1 - 300 * 10/9 = 9/10 - 300 * 10/9 = 9/10 - 1000/9 = 9/10 - 111.11... = 0.77...
Rounded to the nearest hundredth, the fraction of the total apples picked sold as fresh fruit is 0.77.
This can also be expressed as a fraction, 0.77 = 77/100 = 7/10.
The fraction of the total apples picked sold as fresh fruit is 7/10. Answer: \boxed{7/10}.
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?(1 point)
Responses
4/5
not enough information
not enough information
3/5
3/10
Step 1: Calculate the fraction of apples Sara discarded as defective.
Since Sara discarded 1/10 of the apples, the fraction can be written as 1/10.
Step 2: Calculate the fraction of apples remaining after discarding the defective ones.
The fraction of apples remaining is 1 - 1/10 = 9/10.
Step 3: Calculate the fraction of apples that were made into cider.
Out of the remaining apples, 300 were made into cider. Since the total remaining apples is 9/10, the fraction can be written as 300/(9/10).
To simplify, divide both the numerator and denominator by 10: 300/(9/10) = 300 * (10/9) = 3000/9 = 1000/3.
Step 4: Calculate the fraction of apples sold as fresh fruit.
The remaining apples that were not made into cider were sold as fresh fruit. Thus, the fraction can be calculated as 1 - (1000/3).
To get a common denominator, rewrite 1 as 3/3: 3/3 - (1000/3) = (3 - 1000)/3 = -997/3.
Therefore, the fraction of the total apples picked that were sold as fresh fruit is -997/3.
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 the defective ones and made cider from the remaining apples.
Let's assume Sara picked x number of apples.
Sara discarded 1/10 of the apples, which means that she kept 1 - 1/10 = 9/10 of the apples.
So, the number of apples remaining after discarding the defective ones is (9/10) * x.
Out of the remaining apples, Sara made 300 into cider. Therefore, the number of apples sold as fresh fruit is (9/10) * x - 300.
To find the fraction of the total apples sold as fresh fruit, we divide the number of fresh apples sold by the total number of apples picked:
Fraction of apples sold as fresh fruit = (9/10 * x - 300) / x
Simplifying this expression further, we get:
Fraction of apples sold as fresh fruit = (9x/10 - 300) / x
= 9/10 - 300/x
So, the fraction of the total apples picked that were sold as fresh fruit is 9/10 - 300/x.