## waheguru Group Title Can someone please help me with this problem, I do not understand how to solve one year ago one year ago

1. waheguru Group Title

2. waheguru Group Title

How do i solve this?

3. Azteck Group Title

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 Group Title

can it not also be y ?

5. Azteck Group Title

Why would you want two variables when you can solve it using one? Do you want to make your life harder?

6. waheguru Group Title

Its because i am learning graphing at the moment so i thought there would be y in there

7. Azteck Group Title

Does the question have the word sketch/draw or graphically in it?

8. waheguru Group Title

no

9. Azteck Group Title

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 Group Title

sorry

11. Azteck Group Title

Write 5% as a decimal.

12. Azteck Group Title

Also write 7.2% as a decimal.

13. waheguru Group Title

0.05

14. waheguru Group Title

0.072

15. Azteck Group Title

Sorry I meant fraction. My apologies.

16. waheguru Group Title

50/1000 75/1000

17. Azteck Group Title

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 Group Title

1/20 and 3/40

19. Azteck Group Title

75?

20. Azteck Group Title

The question says 7.2%....not 7.5%....

21. waheguru Group Title

9/125

22. Azteck Group Title

You only got one correct. Please rewrite 7.2% as a fraction again please.

23. Azteck Group Title

Yep you're correct.

24. Azteck Group Title

Sorry about that, my comp lagged out.

25. Azteck Group Title

Okay now. Do you agree that (x times 5%)+[(5000-x) times 7.2%)]=349?

26. waheguru Group Title

yes

27. Azteck Group Title

Okay, now change the 5% and 7.2% into the fractions you wrote previously and show me your equation.

28. waheguru Group Title

1/20 x + 9/25 (5000-x) = 349

29. Azteck Group Title

Yep great! Excellent.

30. Azteck Group Title

Now. You just figured the equation that would lead you to finding x. $\frac{ x }{ 20 }+\frac{ 9(5000-x) }{ 125 }=349$

31. waheguru Group Title

oh... yea

32. Azteck Group Title

It's 125.

33. Azteck Group Title

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 Group Title

yea

35. Azteck Group Title

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 Group Title

500 LCD

37. Azteck Group Title

yep.

38. Azteck Group Title

Multiply by 500 to both sides.

39. Azteck Group Title

Tell me what you get. Afterwards, you would have to expand/distribute the brackets/paranthesis.

40. waheguru Group Title

Ill do that, but just for knowledge this can also be answered by using the decimals (0.05 and 0.075) right

41. waheguru Group Title

i ment 0.072

42. Azteck Group Title

Yea of course.

43. Azteck Group Title

I just reckon fractions are clearer and you would understand a bit better.

44. Azteck Group Title

So what did you get?

45. waheguru Group Title

I find fractions a bit difficult so i did decimals, 0.05x + 0.072(5000-x) = 349

46. waheguru Group Title

0.05x + 360-0.072x = 349

47. Azteck Group Title

Okay...Well then expand/distribute the brackets/paranthesis...

48. waheguru Group Title

and 0.05x - 0.072 = -11

49. Azteck Group Title

Where's the x gone mate?

50. waheguru Group Title

sry (you are am amazing teacher you can catch the slighest mistakes =) 0.05x - 0.072x = -11

51. Azteck Group Title

Okay collect likes terms. That means group the x's together.

52. Azteck Group Title

like terms*

53. waheguru Group Title

-0.022x = -11

54. waheguru Group Title

x= -11/-0.022

55. waheguru Group Title

x = 500

56. waheguru Group Title

wow

57. Azteck Group Title

Yep and then what do you get for the other one.

58. Azteck Group Title

?*

59. Azteck Group Title

There's two parts.

60. Azteck Group Title

That's the first part where it was invested at a rate of 5% p.a

61. Azteck Group Title

So what about the part where it was invested at a rate of 7.2%?

62. waheguru Group Title

4500 the rest of the money

63. Azteck Group Title

Correct. Awesome.

64. waheguru Group Title

wow, you are just an amazing teacher. thank you soo much

65. Azteck Group Title

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 Group Title

And no worries. Good work.

67. waheguru Group Title

Mr, Aztech are you usually available at this time so I can ask you for help

68. Azteck Group Title

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 Group Title

Thankyou sir