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

- waheguru

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

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- waheguru

##### 1 Attachment

- waheguru

How do i solve this?

- anonymous

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".

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## More answers

- waheguru

can it not also be y ?

- anonymous

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

- waheguru

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

- anonymous

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

- waheguru

no

- anonymous

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.

- waheguru

sorry

- anonymous

Write 5% as a decimal.

- anonymous

Also write 7.2% as a decimal.

- waheguru

0.05

- waheguru

0.072

- anonymous

Sorry I meant fraction. My apologies.

- waheguru

50/1000
75/1000

- anonymous

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.

- waheguru

1/20 and 3/40

- anonymous

75?

- anonymous

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

- waheguru

9/125

- anonymous

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

- anonymous

Yep you're correct.

- anonymous

Sorry about that, my comp lagged out.

- anonymous

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

- waheguru

yes

- anonymous

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

- waheguru

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

- anonymous

Yep great! Excellent.

- anonymous

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

- waheguru

oh... yea

- anonymous

It's 125.

- anonymous

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.

- waheguru

yea

- anonymous

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

- waheguru

500 LCD

- anonymous

yep.

- anonymous

Multiply by 500 to both sides.

- anonymous

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

- waheguru

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

- waheguru

i ment 0.072

- anonymous

Yea of course.

- anonymous

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

- anonymous

So what did you get?

- waheguru

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

- waheguru

0.05x + 360-0.072x = 349

- anonymous

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

- waheguru

and 0.05x - 0.072 = -11

- anonymous

Where's the x gone mate?

- waheguru

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

- anonymous

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

- anonymous

like terms*

- waheguru

-0.022x = -11

- waheguru

x= -11/-0.022

- waheguru

x = 500

- waheguru

wow

- anonymous

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

- anonymous

?*

- anonymous

There's two parts.

- anonymous

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

- anonymous

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

- waheguru

4500 the rest of the money

- anonymous

Correct. Awesome.

- waheguru

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

- anonymous

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

- anonymous

And no worries. Good work.

- waheguru

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

- anonymous

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.

- waheguru

Thankyou sir

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