Question #95279

1 Answer
Oct 22, 2017

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