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waheguru

  • 3 years ago

Can someone please help me with this problem, I do not understand how to solve

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  1. waheguru
    • 3 years ago
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  2. waheguru
    • 3 years ago
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    How do i solve this?

  3. Azteck
    • 3 years ago
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    Let the part of it that's being invested at a rate of 5% per annum be x. Let he other part that's being invested at 7.2% "5000-x".

  4. waheguru
    • 3 years ago
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    can it not also be y ?

  5. Azteck
    • 3 years ago
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    Why would you want two variables when you can solve it using one? Do you want to make your life harder?

  6. waheguru
    • 3 years ago
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    Its because i am learning graphing at the moment so i thought there would be y in there

  7. Azteck
    • 3 years ago
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    Does the question have the word sketch/draw or graphically in it?

  8. waheguru
    • 3 years ago
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    no

  9. Azteck
    • 3 years ago
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    Then what kind of reason was that?... Now let's continue on with the question rather than giving random excuses as to what you're learning.

  10. waheguru
    • 3 years ago
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    sorry

  11. Azteck
    • 3 years ago
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    Write 5% as a decimal.

  12. Azteck
    • 3 years ago
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    Also write 7.2% as a decimal.

  13. waheguru
    • 3 years ago
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    0.05

  14. waheguru
    • 3 years ago
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    0.072

  15. Azteck
    • 3 years ago
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    Sorry I meant fraction. My apologies.

  16. waheguru
    • 3 years ago
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    50/1000 75/1000

  17. Azteck
    • 3 years ago
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    Make it into the simplest form please. If you don't know how to simplify fractions into its simplest form, then I suggest you use your calculator.

  18. waheguru
    • 3 years ago
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    1/20 and 3/40

  19. Azteck
    • 3 years ago
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    75?

  20. Azteck
    • 3 years ago
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    The question says 7.2%....not 7.5%....

  21. waheguru
    • 3 years ago
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    9/125

  22. Azteck
    • 3 years ago
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    You only got one correct. Please rewrite 7.2% as a fraction again please.

  23. Azteck
    • 3 years ago
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    Yep you're correct.

  24. Azteck
    • 3 years ago
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    Sorry about that, my comp lagged out.

  25. Azteck
    • 3 years ago
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    Okay now. Do you agree that (x times 5%)+[(5000-x) times 7.2%)]=349?

  26. waheguru
    • 3 years ago
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    yes

  27. Azteck
    • 3 years ago
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    Okay, now change the 5% and 7.2% into the fractions you wrote previously and show me your equation.

  28. waheguru
    • 3 years ago
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    1/20 x + 9/25 (5000-x) = 349

  29. Azteck
    • 3 years ago
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    Yep great! Excellent.

  30. Azteck
    • 3 years ago
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    Now. You just figured the equation that would lead you to finding x. \[\frac{ x }{ 20 }+\frac{ 9(5000-x) }{ 125 }=349\]

  31. waheguru
    • 3 years ago
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    oh... yea

  32. Azteck
    • 3 years ago
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    It's 125.

  33. Azteck
    • 3 years ago
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    I'm just letting you go for just writing 25 but I will let you go this time due to the probability of that being a typo.

  34. waheguru
    • 3 years ago
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    yea

  35. Azteck
    • 3 years ago
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    Okay, so when you get rid of the fractions by multiplying both sides with the Lowest common multiple, tell me what you get.

  36. waheguru
    • 3 years ago
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    500 LCD

  37. Azteck
    • 3 years ago
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    yep.

  38. Azteck
    • 3 years ago
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    Multiply by 500 to both sides.

  39. Azteck
    • 3 years ago
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    Tell me what you get. Afterwards, you would have to expand/distribute the brackets/paranthesis.

  40. waheguru
    • 3 years ago
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    Ill do that, but just for knowledge this can also be answered by using the decimals (0.05 and 0.075) right

  41. waheguru
    • 3 years ago
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    i ment 0.072

  42. Azteck
    • 3 years ago
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    Yea of course.

  43. Azteck
    • 3 years ago
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    I just reckon fractions are clearer and you would understand a bit better.

  44. Azteck
    • 3 years ago
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    So what did you get?

  45. waheguru
    • 3 years ago
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    I find fractions a bit difficult so i did decimals, 0.05x + 0.072(5000-x) = 349

  46. waheguru
    • 3 years ago
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    0.05x + 360-0.072x = 349

  47. Azteck
    • 3 years ago
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    Okay...Well then expand/distribute the brackets/paranthesis...

  48. waheguru
    • 3 years ago
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    and 0.05x - 0.072 = -11

  49. Azteck
    • 3 years ago
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    Where's the x gone mate?

  50. waheguru
    • 3 years ago
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    sry (you are am amazing teacher you can catch the slighest mistakes =) 0.05x - 0.072x = -11

  51. Azteck
    • 3 years ago
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    Okay collect likes terms. That means group the x's together.

  52. Azteck
    • 3 years ago
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    like terms*

  53. waheguru
    • 3 years ago
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    -0.022x = -11

  54. waheguru
    • 3 years ago
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    x= -11/-0.022

  55. waheguru
    • 3 years ago
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    x = 500

  56. waheguru
    • 3 years ago
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    wow

  57. Azteck
    • 3 years ago
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    Yep and then what do you get for the other one.

  58. Azteck
    • 3 years ago
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    ?*

  59. Azteck
    • 3 years ago
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    There's two parts.

  60. Azteck
    • 3 years ago
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    That's the first part where it was invested at a rate of 5% p.a

  61. Azteck
    • 3 years ago
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    So what about the part where it was invested at a rate of 7.2%?

  62. waheguru
    • 3 years ago
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    4500 the rest of the money

  63. Azteck
    • 3 years ago
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    Correct. Awesome.

  64. waheguru
    • 3 years ago
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    wow, you are just an amazing teacher. thank you soo much

  65. Azteck
    • 3 years ago
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    I will show what I did using fractions. This just give you a look at a different perspective in solving these. \[25x+36(5000-x)=174500\] \[25x+180000-36x=174500\] \[11x=180000-174500\] \[11x=5500\] \[x=500\]

  66. Azteck
    • 3 years ago
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    And no worries. Good work.

  67. waheguru
    • 3 years ago
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    Mr, Aztech are you usually available at this time so I can ask you for help

  68. Azteck
    • 3 years ago
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    Not all the time. I'm also busy with my own work. So some days I will be off doing my work and other days I will be resting and so on. This is only just a bit of fun to help others with their homework.

  69. waheguru
    • 3 years ago
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    Thankyou sir

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