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vshiroky

  • one year ago

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.

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  1. anonymous
    • one year ago
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    .350 is David's cumulative average.

  2. anonymous
    • one year ago
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    If you were to add the 3/5 result to compute the new average, the expression would be

  3. vshiroky
    • one year ago
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    I'm not sure what to do..

  4. anonymous
    • one year ago
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    Let x be the number of hits before the game, and y be the number of bats before the game.

  5. anonymous
    • one year ago
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    Then, you have two equations.

  6. anonymous
    • one year ago
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    \[\frac{ x }{ y } = .350\]

  7. anonymous
    • one year ago
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    \[\frac{ x+3 }{ y+5 } = .352\]

  8. anonymous
    • one year ago
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    Batting average = #hits/#bats

  9. anonymous
    • one year ago
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    Take the two equations above and solve for x, y.

  10. vshiroky
    • one year ago
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    how do i solve x&y?

  11. vshiroky
    • one year ago
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    @ganeshie8

  12. vshiroky
    • one year ago
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    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.

  13. wolf1728
    • one year ago
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    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

  14. wolf1728
    • one year ago
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    We can rearrange those 2 equations A) x -.352y = -1.24 B) x -350y =0 Can you solve that now?

  15. wolf1728
    • one year ago
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    Hint multiply equation B by -1

  16. vshiroky
    • one year ago
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    625

  17. wolf1728
    • one year ago
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    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

  18. wolf1728
    • one year ago
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    x = .350y x = 217

  19. vshiroky
    • one year ago
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    Add 217 & 620?

  20. wolf1728
    • one year ago
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    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

  21. vshiroky
    • one year ago
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    Do I add the 3 to 217? For the total bats to be 220

  22. vshiroky
    • one year ago
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    It wants to know at bat and hits all together I think

  23. wolf1728
    • one year ago
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    That would be TOTAL HITS = 220 Then add 5 to the at bats making that equal 625 220 / 625 = 0.352

  24. vshiroky
    • one year ago
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    So 845 would be my final answer right? To know at bat and hits together?

  25. wolf1728
    • one year ago
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    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

  26. vshiroky
    • one year ago
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    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

  27. vshiroky
    • one year ago
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    Am I still way off @wolf1728

  28. vshiroky
    • one year ago
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    My phone doesn't load to fast. I had to switch off the laptop sorry

  29. wolf1728
    • one year ago
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    Basically, you have to understand how the batting avaerage works. if you have 4 hits for 10 at bats what is your batting avaerage?

  30. vshiroky
    • one year ago
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    .4

  31. vshiroky
    • one year ago
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    .363636

  32. wolf1728
    • one year ago
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    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?

  33. wolf1728
    • one year ago
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    okay the hits = 4 the at bats = 11 and the avaerage = 4/11 = 0.3636363636 OR .364 as it is usually reported

  34. wolf1728
    • one year ago
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    So now do you see how to report the hits and the at bats in the original problem?

  35. vshiroky
    • one year ago
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    Hits 220 At bats 625

  36. wolf1728
    • one year ago
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    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

  37. vshiroky
    • one year ago
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    Ok

  38. wolf1728
    • one year ago
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    Do you have a little bit better idea now?

  39. vshiroky
    • one year ago
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    Yes I think so. Thank you.

  40. wolf1728
    • one year ago
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    Okay - glad to have helped out :-)

  41. vshiroky
    • one year ago
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    I can't medal from my phone but I will from the computer tomorrow

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