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Mathematics 9 Online
OpenStudy (shaleiah):

@DivineSolar

OpenStudy (shaleiah):

DivineSolar (divinesolar):

Do you have an equation that you made out of this?

DivineSolar (divinesolar):

If you make the equation I can help with the rest just like the last question.

OpenStudy (shaleiah):

\[\frac{ 84 }{ 48 }=\frac{ (7x+7) }{ 52 }\]

DivineSolar (divinesolar):

Okay let's get started ;), time to use my program to get typing in then I will transfer over to here an write it in the latex format.

DivineSolar (divinesolar):

First you cross multiply > (84) * (52) = (7x + 7) * (48) which gives us > 4368 = 336x + 336 > Flip the equation > ?

DivineSolar (divinesolar):

I want you to flip it.

DivineSolar (divinesolar):

Try flipping the equation :).

DivineSolar (divinesolar):

???? + ??? = 4368

OpenStudy (shaleiah):

336+336

DivineSolar (divinesolar):

Not quite add the variable x to the end of the first 336. > 336x + 336 = 4368

DivineSolar (divinesolar):

Now what we need to do is subtract 336 from both sides > 336x + 336 - 336 = 4368 - 336 > ?

OpenStudy (shaleiah):

your right 336x+336 4368-336=4023

DivineSolar (divinesolar):

Correct on 4023, so now what do we get ? > ? = 4023

OpenStudy (shaleiah):

336x+336=4023

DivineSolar (divinesolar):

Remove + 336 > ? = 4023

OpenStudy (shaleiah):

4023/336=12

DivineSolar (divinesolar):

Nooo xD! Its 336x = 4023 because 336x + 336 - 336 would be 336x + 336 = 672x - 336 which gives you 336x = 4023

DivineSolar (divinesolar):

Understand?

OpenStudy (shaleiah):

Yes

DivineSolar (divinesolar):

Okay now we move on to dividing both sides by 336 which looks like this > \[\frac{ 336x }{ 336 } = \frac{ 4032 }{ 336 }\]

DivineSolar (divinesolar):

Let me know what you get ^-^.

OpenStudy (shaleiah):

x=12

DivineSolar (divinesolar):

Great job! Correct! :D!

OpenStudy (shaleiah):

@myininaya

myininaya (myininaya):

hey can you get guess what the constant of proportionality is from small triangle to big triangle?

OpenStudy (shaleiah):

I'll try

OpenStudy (shaleiah):

7

myininaya (myininaya):

is 48*7 equal to 84?

OpenStudy (shaleiah):

no

myininaya (myininaya):

we need to figure out what number to multiply to 48 that will give us 84

myininaya (myininaya):

and then we will use that number to find x in the equation: 52*constant=7x+7 where constant is the constant of proportionality

myininaya (myininaya):

so first solve 48*k=84 for k then solve 52k=7x+7 for x

OpenStudy (shaleiah):

1.75

myininaya (myininaya):

ok or 7/4 so you have 52(1.75)=7x+7

OpenStudy (shaleiah):

12

myininaya (myininaya):

yep you actually set that equation up correctly above \[\frac{ 84 }{ 48 }=\frac{ (7x+7) }{ 52 } \]

myininaya (myininaya):

\[\frac{7}{4}=\frac{7x+7}{52} \\ 52(\frac{7}{4})=7x+7 \\ 52(1.75)=7x+7\]

myininaya (myininaya):

x=12 is correct :)

OpenStudy (shaleiah):

Thank you!!!

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