Airball, Bud is a terrible free throw shooter, but the first part of the seaon he shot 10 out of 16. How many consecutive free throws must he miss to lower his record to 40%.
solve for x, the number of hits
(10+0)/(16+x) = 4/10
Can it be this way
10/16 × 40/100=5/20=
Can it be this way
10/16 × 40/100=5/20= 4
To determine how many consecutive free throws Bud must miss to lower his shooting record to 40%, we need to first find out how many successful free throws he has made in total.
Based on the information given, Bud made 10 successful free throws out of 16 attempts initially. Thus, his shooting percentage for the first part of the season is calculated as follows:
Shooting Percentage = (Number of Successful Free Throws / Total Number of Attempts) * 100
Let's calculate Bud's shooting percentage for the first part of the season:
Shooting Percentage = (10 / 16) * 100 = 62.5%
Now, we need to determine the number of successful free throws Bud requires to reach a 40% shooting percentage.
If we assume Bud takes 'x' consecutive free throws and misses all of them, the equation for his new shooting percentage can be set up as follows:
40 = (10 / (16 + x)) * 100
To solve this equation for 'x' (the number of consecutive missed free throws), we can rearrange the equation as:
40 / 100 = 10 / (16 + x)
Multiplying both sides by (16 + x) gives:
(40 / 100) * (16 + x) = 10
Simplifying the equation further:
(2/5) * (16 + x) = 10
Multiplying both sides of the equation by (5/2), we get:
16 + x = (5/2) * 10
16 + x = 25/2
Subtracting 16 from both sides, we have:
x = 25/2 - 16/1
Simplifying further:
x = 25/2 - 32/2
x = -7/2
Since we can't have a negative number of consecutively missed free throws, this means it is not possible for Bud to achieve a shooting percentage of 40% based on the given information.