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