Question

Anya makes a scale drawing of a bug. The scale of the drawing’s length to the actual bug’s length is 2 inches: 1/8 inch. The actual bug is 3/4 inch long. How long is Anya’s drawing of the bug.

Answer 1

Hello!

The answer is: The Anya's drawing is 6 inches long.

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Why?

To solve this problem, we need to consider the drawing's length with respect to the actual bug's size, so, the scale factor is:

$2in:\frac{1}{8}in\\\\2x(in):\frac{3}{4}in$

So, how long is Anya's drawing of the bug?

We can find it, using the following equation:

$(2x)in=\frac{2in*\frac{3}{4}in}{\frac{1}{8}in}=\frac{\frac{6}{4}in}{\frac{1}{8}in}=\frac{\frac{3}{2}in }{\frac{1}{8}in}\\\\(2x)in=\frac{\frac{3}{2}in }{\frac{1}{8}in }=\frac{3}{2}in*\frac{8}{1}in=12in^{2}\\\\(2x)in=12in^{2} \\\\x=\frac{12in^{2} }{2in}=6in$

Hence, the Anya's drawing is 6 inches long.

Have a nice day!