Question

Under typical conditions, 1 1/2 ft of snow will melt to 2 in. of water. To how many inches of water will 2 1/4 ft of snow melt?

A) 3 1/12 in.
B) 3 in.
C) 3 3/8 in.
D) 4 1/2 in.

Answer 1

Using a proportion based on the information given, we determined that 2 1/4 feet of snow melts into 3 inches of water. The correct answer is Option B) 3 inches.

Step-by-step explanation:

The question asks how many inches of water will result from the melting of 2 1/4 feet of snow given that 1 1/2 feet of snow melts into 2 inches of water under typical conditions. To find the answer, we set up a proportion because we're dealing with a conversion factor that applies regardless of the amount of snow.

Let x inches be the amount of water that 2 1/4 feet of snow melts into. We know that 1 1/2 feet of snow becomes 2 inches of water. So, our proportion is: (1 1/2 feet) / (2 inches) = (2 1/4 feet) / (x inches)

To solve for x, we cross-multiply and find:

1.5 feet * x inches = 2 inches * 2.25 feet (1.5 * x) = (4.5)

Now, we divide both sides by 1.5 to isolate x:

x = 4.5 / 1.5 x = 3 inches

The correct answer is Option B) 3 inches.