Question

A large sheet of metal is cut into two section such that the ratio of the areas of the two sections is 3 : 2 3:2 . ​If the area of the original sheet of metal was 300 square inches, what is the area of the smaller piece?

Answer 1

120 square inches

Explanation:

Since the original sheet of metal was 300 square inches, and the ratio is 3:2, you can divide the original sheet by 5 (since 3+2=5), and get 60 square inches.

You multiply the 60 square inches by 3 to get the numerator, then 60 times 2 for the denominator.

That will equal 180 inches:120 inches, which is equal to 300, and simplifies to 3:2