Question

Question #95279

Answer 1

`640` at bats

Explanation:

To find batting average, you have to divide the number of hits by the number of at bats.

The first part of the season he has an average of `64/256`

So he had 64 hits in 256 at bats in the first part of the season.

The second part of the season he has an average of `.300`

Let `x=`number of hits in the second part of the season
And `y=`number of at bats in the second part of the season

Thus `x/y=.300->x=.300y`

For the entire season he has an average of `.280`

Since his total season average was `.280`,

`(64+x)/(256+y)=.280`

Plug in the first equation for `x`:

`(64+.300y)/(256+y)=.280`

Solve for `y`:

`64+.300y=.280(256+y)`

`64+.300y=71.68+.280y`

`.020y=7.68`

`y=384`, so he had a total of `384` at bats in the 2nd part of the season

Therefore he had a total of `256+384=640` at bats