Question

lin and noah each created a scale drawing of their backyards. they live in the same community, so their backyards are similar. lin used a scale of 1 inch to 1 foot and noah used a scale of 1 inch to 1 yard. how would you express lin and noahs scales for their drawings using an equivalent scale without units?
a lins scale is 1 to 36, and noahs scale is 1 to 12.
b lins scale is 1 to 12, and noahs scale is 1 to 12.
c lins scale is 1 to 12, and noahs scale is 1 to 36.
d lins scale is 1 to 36, and noahs scale is 1 to 36.

Explanation:

Step1: Convert Lin's scale

1 foot = 12 inches. Lin's scale is 1 inch to 1 foot, so in unit - less form it is 1:12.

Step2: Convert Noah's scale

1 yard = 3 feet and 1 foot = 12 inches, so 1 yard = 3×12 = 36 inches. Noah's scale is 1 inch to 1 yard, so in unit - less form it is 1:36.

Answer:

C. Lin's scale is 1 to 12, and Noah's scale is 1 to 36.