The standard distance between studs in a house is 1.5 feet. if you have a set of blueprints for a house that mark every 1.5 feet with 3 in., by how many inches will a 53-foot wall be represented?

The applicable proportion is

... x/(53 ft) = (3 in)/(1.5 ft)

Multiplying by 53 ft gives

... x = (3 in)×(53 ft)/(1.5 ft)

... x = 106 in . . . . . . . . the length representing 53 ft

A 53-foot wall is going to be represented by 106 inches.

Step-by-step explanation:

This question can be solved as a simple rule of three problem.

The problem states that  you have a set of blueprints for a house that mark every 1.5 feet with 3 in. So, how many inches are there in 53 feet?

1.5 feet - 3 inches

53 feet - x inches

A 53-foot wall is going to be represented by 106 inches.

the answer is 15% decrease