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Mathematics 10 Online
OpenStudy (anonymous):

If r = 5 z then 15 z = 3 y, then r = (A) y (B) 2 y (C) 5 y (D) 10 y

OpenStudy (anonymous):

r = 5z ?r = 15z ?r = 15z = 3y

OpenStudy (anonymous):

please explain.

OpenStudy (anonymous):

@frx can you please solve this?

OpenStudy (anonymous):

One min..

OpenStudy (anonymous):

It's A. let me explain

OpenStudy (anonymous):

You got \[r=5z; 15 z=3y\]

OpenStudy (anonymous):

So what you wanna find is what r is in terms of y

OpenStudy (anonymous):

r=5z and 15z=3y so the conclution from that is that 5z is 1/3 of 15z, right?

OpenStudy (anonymous):

That means that r=5z=y

OpenStudy (anonymous):

so final answer is "A"?

OpenStudy (anonymous):

Another formulation: you know that 15z=3y and you want to find 5z

OpenStudy (anonymous):

Exactly

OpenStudy (anonymous):

Do you get it? :)

OpenStudy (anonymous):

You can also set it as an equationsystem

OpenStudy (anonymous):

yeap got it. thank you.

OpenStudy (anonymous):

np

OpenStudy (anonymous):

\[r=5z \] \[z=\frac{r}{ 5 }\] \[15z=3y\] \[15\frac{ r }{5 }=3y\] \[3r=3y\] \[r=y\]

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