where is playing tennis for every two serves that land four serves land out if he hit 24/7 and how many servings landed up

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To solve the problem, we need to clarify the information given. You mentioned that for every 2 serves that land, 4 serves land out.

This can be interpreted as follows:
- For every 2 serves that are successful (land in), there are 4 serves that are not successful (land out).
- This means the ratio of successful serves to serves that land out is 2:4, which simplifies to 1:2.

If he hit 24 serves in total:
- Let the number of successful serves be \( x \).
- Let the number of serves that land out be \( y \).

From the problem, we can set up the following relationships based on the 1:2 ratio:
1. \( y = 2x \) (because for every successful serve, there are 2 serves that land out)
2. \( x + y = 24 \) (because the total number of serves is 24)

Now we can substitute \( y \) in the second equation:
\[
x + 2x = 24
\]
\[
3x = 24
\]
\[
x = 8
\]

Now, we can find \( y \):
\[
y = 2x = 2(8) = 16
\]

So, the number of successful serves that landed in is **8**, and the number of serves that landed out is **16**.