Question

A softball player has a batting average of exactly .300 and no more than 60 times at bat. Suppose this player gets 5 hits in her next 6 times at bat. What is the highest possible average she could now have?

Answer 1

The highest possible average is 348

Explanation:

we know that

No more than 60 means -----> maximum 60 ( less than or equal to 60)

To find the possible average using proportion

Remember that the average is the number of hits in 1,000 times at bat

If the average is 300 with maximum 60 times at bat

then

The number of hits is 60*300/1,000=18 hits

If the player gets 5 hits in her next 6 times at bat

then

In 66 times at bat the number of hits is 18+5=23 hits

Find out the average

Let

x ----> the average

`(66)/(23)=(1,000)/(x)\\\\x=23*1,000/66\\\\x=348`