Answer: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.
