## steve816 one year ago Help! Why do I suck at word problems so much :( I am good with equations and stuff, but when I stare at a word problem I suffer because I don't know how to set up the equation!!!

1. anonymous

2. pooja195

LOL

3. anonymous

same. bruh you needa like rip the paper and ya thats how you do et

4. anonymous

live the hug life

5. pooja195

How bout u post the problem ???

6. steve816

Wendy, a loan officer at a bank, has $1,000,000 to lend and is required to obtain an average return of 18% per year. If she can lend at a rate of 19% or at the rate of 16%, how much can she lend at the 16% rate and still meet her requirement? I've been staring at this problem for half an hour and I don't even know where to start! 7. anonymous you have to start by making a variable to represent what you are trying to find write it out (spend the ink) 8. pooja195 Let x = amount loaned at 16%. 9. anonymous would write "let $$x$$ be the amount lent at 16%" 10. anonymous then since the total lent is one million, the amount lent at 19% must be what? 11. anonymous hint, your answer has to have an x in it 12. steve816 Ummm, do I create a new variable??? 13. anonymous no 14. steve816 D: This doesn't make sense to me 15. anonymous use one , it is easier 16. anonymous ok let me ask you this suppose you invest$400,000 at 16% what gets invested at 19%?

17. steve816

Oh! would it be 400,000 - x

18. anonymous

let me ask again the total is one million you invest 400,000 at 16% how much is left to invest at 19%?

19. steve816

Wait, where the the 400,000 come from?

20. anonymous

21. anonymous

after you do it with 400,000 we can do it with 700,000 and with 20,000 so we understand what we are doing and it is not so mysterious

22. steve816

Man, this is really confusing, I feel really stupid.

23. anonymous

ok i will give an example i have a million dollars to invest (yeah right) i invest $200,000 at 16% that leaves me with$800,000 to invest at 19% clear?

24. steve816

Oooooh, yes that makes sense.

25. anonymous

ok now your turn you have one million to invest you invest $400,000 at 16% how much do you have left to invest at 19%? 26. steve816 600,000 27. anonymous ok good now another you have one million to invest you invest$20 at 16% how much do you have left to invest at 19%?

28. steve816

1,000,000 - 20

29. anonymous

yay now lets cut to the chase you invest $$x$$ at 16% how much do you have left to invest at 19%? your answer must have an x in it

30. steve816

1,000,000 - x

31. anonymous

ok good in summery ( we are not done) you invest $$x$$ at 16% and that leaves you $$1,000,000-x$$ so invest at 19% next...

32. anonymous

you want to average 18% of the one million what is 18% of one million?

33. steve816

180,000

34. anonymous

i believe you

35. anonymous

ok so now how much do we make on the $$x$$ dollars? 16% so we need to write 16% of x in math that is $.16x$

36. anonymous

on account of 16% means 0.16 and "of" means $$\times$$ clear?

37. steve816

Yes

38. anonymous

ok so how much do we make on the $$1,000,000-x$$ dollars invested at 19%?

39. anonymous

hint, it is going to look a lot like $$.16x$$ only with $$.19$$ instead of $$.16$$ and $$1,000,000-x$$ instead of $$x$$

40. steve816

ohhh, it would be .19(1,000,000 - x)

41. anonymous

yes it would

42. anonymous

and now we can add them up to get the total amount made

43. anonymous

just put a plus sign between the two expressions

44. steve816

So add the 2 expressions and make it equal to 180,000?

45. anonymous

yes

46. anonymous

well greater than or equal to but lets just make it equal

47. steve816

.16x + .19(1,000,000 - x) = 180,000

48. anonymous

solve

49. steve816

Yay, now I can finish this. Setting up the equation really is the hard part for me.

50. anonymous

ok it is easier to solve by multplyying both sides by 100 and solving $16x+19(1,000,000-x)=18,000,000$

51. steve816

16x + 19,000,000 - 19x = 18,000,000 -3x + 19,000,000 = 18,000,000 -3x = -1,000,000 x = 333,333.33

52. steve816

Am I right?

53. anonymous

ikd i didn't do it

54. anonymous

seems right though

55. anonymous

yeah it is right

56. steve816

I really appreciate your help man. I have gained a little bit of confidence on word problems now! Thanks again for your time and help.

57. anonymous

you are quite welcome, hope it makes it somewhat easier for you