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

1 answer

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.