The drawing of a wheel in a book is done at 1/16 scale. If the drawing is 1.8 inches in diameter, what is the wheel's diameter?

Question

anonymous · Answer

Can you set up a proportion given that information?

calculusxy · Answer

I don't know how to set up a proportion with this information. If you can guide me, I will try to learn.

anonymous · Answer

^_^ You'll get it right quick! So, if the wheel in the book is at a scale of 1/16, then we know that every 1 inch of drawing is equivalent to 16 inches of wheel in real life. So then using what we know in the problem we can say 

$$ \frac{1 \text{ inches in the drawing}}{16 \text{ inches in real life}} = \frac{1.8 \text{ inches in the drawing}}{x \text{ inches in real life}} $$
$$\frac{1}{16}=\frac{1.8}{x}$$

You just have to solve for x to find the diameter of the real life wheel. Does that make sense?

calculusxy · Answer

Thank you sooooo much! I have asked people before, but they never gave me an answer like yours. Your awesome. Can you stay with you? I need help with other math ones :)

anonymous · Answer

yup yup ^^

calculusxy · Answer

Wait I will mention you in another post.

anonymous · Answer

k