vshiroky
  • vshiroky
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.
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
.350 is David's cumulative average.
anonymous
  • anonymous
If you were to add the 3/5 result to compute the new average, the expression would be
vshiroky
  • vshiroky
I'm not sure what to do..

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More answers

anonymous
  • anonymous
Let x be the number of hits before the game, and y be the number of bats before the game.
anonymous
  • anonymous
Then, you have two equations.
anonymous
  • anonymous
\[\frac{ x }{ y } = .350\]
anonymous
  • anonymous
\[\frac{ x+3 }{ y+5 } = .352\]
anonymous
  • anonymous
Batting average = #hits/#bats
anonymous
  • anonymous
Take the two equations above and solve for x, y.
vshiroky
  • vshiroky
how do i solve x&y?
vshiroky
  • vshiroky
@ganeshie8
vshiroky
  • 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
  • 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
  • wolf1728
We can rearrange those 2 equations A) x -.352y = -1.24 B) x -350y =0 Can you solve that now?
wolf1728
  • wolf1728
Hint multiply equation B by -1
vshiroky
  • vshiroky
625
wolf1728
  • 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
  • wolf1728
x = .350y x = 217
vshiroky
  • vshiroky
Add 217 & 620?
wolf1728
  • 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
  • vshiroky
Do I add the 3 to 217? For the total bats to be 220
vshiroky
  • vshiroky
It wants to know at bat and hits all together I think
wolf1728
  • wolf1728
That would be TOTAL HITS = 220 Then add 5 to the at bats making that equal 625 220 / 625 = 0.352
vshiroky
  • vshiroky
So 845 would be my final answer right? To know at bat and hits together?
wolf1728
  • 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
  • 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
  • vshiroky
Am I still way off @wolf1728
vshiroky
  • vshiroky
My phone doesn't load to fast. I had to switch off the laptop sorry
wolf1728
  • 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
  • vshiroky
.4
vshiroky
  • vshiroky
.363636
wolf1728
  • 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
  • wolf1728
okay the hits = 4 the at bats = 11 and the avaerage = 4/11 = 0.3636363636 OR .364 as it is usually reported
wolf1728
  • wolf1728
So now do you see how to report the hits and the at bats in the original problem?
vshiroky
  • vshiroky
Hits 220 At bats 625
wolf1728
  • 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
  • vshiroky
Ok
wolf1728
  • wolf1728
Do you have a little bit better idea now?
vshiroky
  • vshiroky
Yes I think so. Thank you.
wolf1728
  • wolf1728
Okay - glad to have helped out :-)
vshiroky
  • vshiroky
I can't medal from my phone but I will from the computer tomorrow

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