A basketball player has
made 135 free throws in 180 attempts. Of the next 50 free
throws attempted, how many would she have to make to
raise her percent of free throws made by 5%?
Her current percentage of successes is 135/180 = 75%.
She now makes 50 more free throws, for a total of 180+50 = 230. She wants to get 75% + 5% = 80%. How many of those 230 does she need to make?
Subtract 135 to find the number of free throws out of the extra 50.
To find out how many free throws the basketball player needs to make in order to raise her percent of free throws made by 5%, we can follow these steps:
Step 1: Calculate the initial percentage of free throws made.
The basketball player has made 135 free throws out of 180 attempts. To find the initial percentage, divide the number of successful attempts by the total attempts and multiply the result by 100.
Initial percentage = (135/180) * 100
Step 2: Calculate the desired percentage of free throws made.
Since the player wants to increase her percentage by 5%, we add 5 to the initial percentage.
Desired percentage = Initial percentage + 5
Step 3: Calculate the number of successful attempts needed to reach the desired percentage.
Let's assume the player makes x out of the next 50 attempts. To find the number of successful attempts needed, set up a proportion using the initial and desired percentages.
(135/180) = (x/(50 + 180)) * 100
Now, solve the proportion for x.
(135/180) = (x/230) * 100
(135/180) = (x/2.3)
Cross-multiply:
(135 * 2.3) = 180x
310.5 = 180x
Divide by 180:
310.5/180 = x
x ≈ 1.725
Step 4: Round up to find the minimum number of free throws needed.
Since she can't make 1.725 throws, round up to the nearest whole number. Therefore, the player needs to make at least 2 additional free throws.
Therefore, the basketball player would need to make at least 2 free throws out of the next 50 attempts in order to raise her percent of successful free throws by 5%.