Lin and her brother each created a scale drawing of their backyard but at different scales. lin used a scale of 1 inch to 1 foot. her brother used a scale of 1 inch to 1 yard. express the scale of the drawing without units

Part 1) The scale for the drawings without units are 1/12 and 1/36

Part 2) The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36. The explanation in the procedure

Step-by-step explanation:

we know that

1) Lin used a scale of

Remember that

1 ft=12 in

substitute in the scale

That means ----> 1 unit in the drawing represent 12 units in the actual

2) Her brother used a scale of

Remember that

1 yd=36 in

substitute in the scale

That means ----> 1 unit in the drawing represent 36 units in the actual

therefore

The scale for the drawings without units are 1/12 and 1/36

Part 2) Whose drawing is larger?

The scale drawing 1/12 is larger than the scale drawing of 1/36

To find out how many times as large is the scale 1/12 than the scale of 1/36

Divide 1/12 by 1/36

The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36

Explanation

Let supposing that we want to represent in the drawing a measure that in its real size measures 36 units.  

In the scale of 1/12, the drawing will show a measure of 3 units (remember 3(12)=36 units).

At the 1/36 scale, the drawing will show a measurement of 1 unit (remember 1(36)=36 units).

Therefore the largest drawing will be with a scale of 1/12.