Question

Jose's batting average is 0.250 after 160 times at bat, which means he made a hit 40 of the times he was at

bat. He wants to improve his batting average to 0.333. If he makes a hit the next x times at bat, which
equation can be used to calculate the number of hits needed to obtain this improved batting average?
A. +40
160
.333
B.
160
= .333
2+40
C.
2+40
2+160
.333
O
D.
3+160
= .333
+40

Answer 1

The correct option is;

`(x + 40)/(x + 160) = 0.333`

Which is of the form of option C with 2 replaced by x and the characters formatted

Explanation:

The given parameters are;

Jose's present batting average = 0.250

The number of times he was at bat = 160

The number of times he made a hit = 40

The batting average he wants to improve to = 0.333

If he makes a hit the next x times he was at bat is represented as if he makes a hit each time, for the next x time he was at bat. We have;

The number in times he makes a hit the next x times he was at bat = x

Therefore, we get;

New total number of hits Jose makes = 40 + x = x + 40

New total number of time Jose was at bat = 160 + x = x + 160

Therefore, given that Jose intends to improve his batting average to 0.333, and that the batting average is given by the relation;

`Batting \ average = (The \ number \ of\ hits)/(The \ number \ of\ at \ bat )`

To find x, we have;

`0.333 = (x + 40)/(x + 160)`

Therefore, the correct option is most likely C. where the 2 is supposed to be x.