Question

Last week David Wright had a batting average of .350. After the next night's game, Wright had 3 hits in 5 at bats, his average increased to .352. Determine the number of at bats and his Wright has altogether.

Answer 1

.350 is David's cumulative average.

Answer 2

If you were to add the 3/5 result to compute the new average, the expression would be

Answer 3

I'm not sure what to do..

Answer 4

Let x be the number of hits before the game, and y be the number of bats before the game.

Answer 5

Then, you have two equations.

Answer 6

\[\frac{ x }{ y } = .350\]

Answer 7

\[\frac{ x+3 }{ y+5 } = .352\]

Answer 8

Batting average = #hits/#bats

Answer 9

Take the two equations above and solve for x, y.

Answer 10

how do i solve x&y?

Answer 11

@ganeshie8

Answer 12

Part 2: At different times in the season, when David Wright had 3 hits for 5 times at bat, his batting average jumped from .350 to .351, from .350 to .355. Explain why the increase is not the same amount each time.

Answer 13

vshiroky - Let's solve the first question okay?

(x+3) / (y+5) = .352
we can multiply that
x + 3 = .352y + 1.76

and x = .350 y

Answer 14

We can rearrange those 2 equations
A) x -.352y = -1.24
B) x -350y =0

Can you solve that now?

Answer 15

Hint multiply equation B by -1

Answer 16

625

Answer 17

A) x -.352y = -1.24 Okay, I'LL multiply equation B by -1
B) -x +.350y = 0

Now, add both equations

-.002y = -1.24
y = 620

Answer 18

x = .350y

x = 217

Answer 19

Add 217 & 620?

Answer 20

SO, when the batting average was .350 it consisted of 217 hits for 620 at bats

The batting average is computed as:
hits / at bats

217 / 620 = .350

Answer 21

Do I add the 3 to 217? For the total bats to be 220

Answer 22

It wants to know at bat and hits all together I think

Answer 23

That would be TOTAL HITS = 220
Then add 5 to the at bats making that equal 625

220 / 625 = 0.352

Answer 24

So 845 would be my final answer right? To know at bat and hits together?

Answer 25

Now you know the hits and at bats for the .350 average

AND the hits and at bats for the .352 average

I think that answers the first question WAY up at the top of the page.

NO your answer is not 845 please look at the answers again

Answer 26

I thought to get the # of times he bat and hit would be added but maybe 405 cause I'd have to minus the 2

Answer 27

Am I still way off @wolf1728

Answer 28

My phone doesn't load to fast. I had to switch off the laptop sorry

Answer 29

Basically, you have to understand how the batting avaerage works.

if you have 4 hits for 10 at bats what is your batting avaerage?

Answer 30

.4

Answer 31

.363636

Answer 32

CORRECT or .400 as it is usually reported

Now, let's say at your NEXT at bat you do NOT get a hit - can you figure out the batting average then?
Basically what is the "hits" what is the "at bats" and what is the average?

Answer 33

okay the hits = 4
the at bats = 11
and the avaerage = 4/11 = 0.3636363636 OR .364 as it is usually reported

Answer 34

So now do you see how to report the hits and the at bats in the original problem?

Answer 35

Hits 220
At bats 625

Answer 36

Okay, yes
Actually, in the first, part it originally asked for the hits and at bats for the .350 average
217 hits
620 at bats

Answer 37

Ok

Answer 38

Do you have a little bit better idea now?

Answer 39

Yes I think so. Thank you.

Answer 40

Okay - glad to have helped out :-)

Answer 41

I can't medal from my phone but I will from the computer tomorrow