b Player B has 99 hits. At least how many at-bats did he have if his average is greater than 0.296?
A
a 132 hits
B
b No, see solution.
Practice makes perfect
a The batting average is found by dividing the number of hits by the number of at-bats.
Batting average=hits/at-bats
Since we know Player A's batting average, and the number of at-bats in 2011, substituting these values into the formula, we can calculate the number of hits.
b We know that Player B had 33 fewer hits in 2011 than Player A. We can subtract 33 from 132, which we found in Part A, to find his number of hits.
132-33=99Since Player B had a greater batting average than Player A, we can write the following inequality using the formula for batting average.
0.296<99/at-bats
Let's solve this inequality for the number of at-bats.
In order for Player B to have gotten 99 hits, and have a higher batting average than 0.296, the number of at-bats must be less than 344. Player A had 446 at-bats. Therefore, our friend was incorrect.
