Question

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

Answer 1

How do i solve this?

Answer 2

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".

Answer 3

can it not also be y ?

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

no

Answer 8

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.

Answer 9

sorry

Answer 10

Write 5% as a decimal.

Answer 11

Also write 7.2% as a decimal.

Answer 12

0.05

Answer 13

0.072

Answer 14

Sorry I meant fraction. My apologies.

Answer 15

50/1000
75/1000

Answer 16

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.

Answer 17

1/20 and 3/40

Answer 18

75?

Answer 19

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

Answer 20

9/125

Answer 21

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

Answer 22

Yep you're correct.

Answer 23

Sorry about that, my comp lagged out.

Answer 24

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

Answer 25

yes

Answer 26

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

Answer 27

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

Answer 28

Yep great! Excellent.

Answer 29

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

Answer 30

oh... yea

Answer 31

It's 125.

Answer 32

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.

Answer 33

yea

Answer 34

Okay, so when you get rid of the fractions by multiplying both sides with the Lowest common multiple, tell me what you get.

Answer 35

500 LCD

Answer 36

yep.

Answer 37

Multiply by 500 to both sides.

Answer 38

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

Answer 39

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

Answer 40

i ment 0.072

Answer 41

Yea of course.

Answer 42

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

Answer 43

So what did you get?

Answer 44

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

Answer 45

0.05x + 360-0.072x = 349

Answer 46

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

Answer 47

and 0.05x - 0.072 = -11

Answer 48

Where's the x gone mate?

Answer 49

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

Answer 50

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

Answer 51

like terms*

Answer 52

-0.022x = -11

Answer 53

x= -11/-0.022

Answer 54

x = 500

Answer 55

wow

Answer 56

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

Answer 57

?*

Answer 58

There's two parts.

Answer 59

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

Answer 60

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

Answer 61

4500 the rest of the money

Answer 62

Correct. Awesome.

Answer 63

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

Answer 64

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

Answer 65

And no worries. Good work.

Answer 66

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

Answer 67

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.

Answer 68

Thankyou sir