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A basketball player has made 12 of his last 20 free throws, which is a free throw percentage of 60%.

How many more consecutive free throws would he need to make to raise his free throw percentage to 75%?

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Let x be the number of consecutive free throws the basketball player needs to make to raise his free throw percentage to 75%. We know that he has made 12 of his last 20 free throws, which means he has missed 8 of them. Therefore, his total number of free throws attempted so far is:

20 + x

We also know that he needs to raise his free throw percentage to 75%, which means he needs to make 75% of all of his free throws attempted. This can be expressed as:

(20 + x) * 0.75

Now we can set up an equation to solve for x:

(12 + x) / (20 + x) = 0.6

Multiplying both sides by (20 + x), we get:

12 + x = 0.6 * (20 + x)

Expanding and simplifying the right-hand side, we get:

12 + x = 12 + 0.6x

Subtracting 12 from both sides, we get:

x = 12 / 0.4

Simplifying, we get:

x = 30

Therefore, the basketball player needs to make 30 consecutive free throws to raise his free throw percentage to 75%.
User Sreeram TP
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