waheguru
Can someone please help me with this problem, I do not understand how to solve
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waheguru
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waheguru
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How do i solve this?
Azteck
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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".
waheguru
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can it not also be y ?
Azteck
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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?
waheguru
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Its because i am learning graphing at the moment so i thought there would be y in there
Azteck
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Does the question have the word sketch/draw or graphically in it?
waheguru
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no
Azteck
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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.
waheguru
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sorry
Azteck
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Write 5% as a decimal.
Azteck
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Also write 7.2% as a decimal.
waheguru
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0.05
waheguru
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0.072
Azteck
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Sorry I meant fraction. My apologies.
waheguru
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50/1000
75/1000
Azteck
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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.
waheguru
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1/20 and 3/40
Azteck
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75?
Azteck
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The question says 7.2%....not 7.5%....
waheguru
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9/125
Azteck
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You only got one correct. Please rewrite 7.2% as a fraction again please.
Azteck
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Yep you're correct.
Azteck
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Sorry about that, my comp lagged out.
Azteck
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Okay now.
Do you agree that (x times 5%)+[(5000-x) times 7.2%)]=349?
waheguru
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yes
Azteck
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Okay, now change the 5% and 7.2% into the fractions you wrote previously and show me your equation.
waheguru
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1/20 x + 9/25 (5000-x) = 349
Azteck
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Yep great! Excellent.
Azteck
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Now. You just figured the equation that would lead you to finding x.
\[\frac{ x }{ 20 }+\frac{ 9(5000-x) }{ 125 }=349\]
waheguru
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oh... yea
Azteck
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It's 125.
Azteck
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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.
waheguru
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yea
Azteck
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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.
waheguru
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500 LCD
Azteck
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yep.
Azteck
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Multiply by 500 to both sides.
Azteck
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Tell me what you get. Afterwards, you would have to expand/distribute the brackets/paranthesis.
waheguru
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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
waheguru
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i ment 0.072
Azteck
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Yea of course.
Azteck
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I just reckon fractions are clearer and you would understand a bit better.
Azteck
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So what did you get?
waheguru
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I find fractions a bit difficult so i did decimals,
0.05x + 0.072(5000-x) = 349
waheguru
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0.05x + 360-0.072x = 349
Azteck
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Okay...Well then expand/distribute the brackets/paranthesis...
waheguru
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and 0.05x - 0.072 = -11
Azteck
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Where's the x gone mate?
waheguru
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sry (you are am amazing teacher you can catch the slighest mistakes =)
0.05x - 0.072x = -11
Azteck
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Okay collect likes terms. That means group the x's together.
Azteck
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like terms*
waheguru
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-0.022x = -11
waheguru
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x= -11/-0.022
waheguru
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x = 500
waheguru
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wow
Azteck
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Yep and then what do you get for the other one.
Azteck
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?*
Azteck
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There's two parts.
Azteck
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That's the first part where it was invested at a rate of 5% p.a
Azteck
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So what about the part where it was invested at a rate of 7.2%?
waheguru
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4500 the rest of the money
Azteck
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Correct. Awesome.
waheguru
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wow, you are just an amazing teacher. thank you soo much
Azteck
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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. \[25x+36(5000-x)=174500\]
\[25x+180000-36x=174500\]
\[11x=180000-174500\]
\[11x=5500\]
\[x=500\]
Azteck
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And no worries. Good work.
waheguru
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Mr, Aztech are you usually available at this time so I can ask you for help
Azteck
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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.
waheguru
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Thankyou sir