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.

- vshiroky

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- anonymous

.350 is David's cumulative average.

- anonymous

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

- vshiroky

I'm not sure what to do..

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## More answers

- anonymous

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

- anonymous

Then, you have two equations.

- anonymous

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

- anonymous

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

- anonymous

Batting average = #hits/#bats

- anonymous

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

- vshiroky

how do i solve x&y?

- vshiroky

@ganeshie8

- vshiroky

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.

- wolf1728

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

- wolf1728

We can rearrange those 2 equations
A) x -.352y = -1.24
B) x -350y =0
Can you solve that now?

- wolf1728

Hint multiply equation B by -1

- vshiroky

625

- wolf1728

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

- wolf1728

x = .350y
x = 217

- vshiroky

Add 217 & 620?

- wolf1728

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

- vshiroky

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

- vshiroky

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

- wolf1728

That would be TOTAL HITS = 220
Then add 5 to the at bats making that equal 625
220 / 625 = 0.352

- vshiroky

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

- wolf1728

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

- vshiroky

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

- vshiroky

Am I still way off @wolf1728

- vshiroky

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

- wolf1728

Basically, you have to understand how the batting avaerage works.
if you have 4 hits for 10 at bats what is your batting avaerage?

- vshiroky

.4

- vshiroky

.363636

- wolf1728

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?

- wolf1728

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

- wolf1728

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

- vshiroky

Hits 220
At bats 625

- wolf1728

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

- vshiroky

Ok

- wolf1728

Do you have a little bit better idea now?

- vshiroky

Yes I think so. Thank you.

- wolf1728

Okay - glad to have helped out :-)

- vshiroky

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

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