Question

Husain cut a 50-inch length of copper pipe into two pieces. The longer piece was 13 inches longer than quadruple the shorter piece. How long was the shorter piece of pipe?

Answer 1

By setting up an equation representing the total length of the pipe and the relationship between the lengths of the two pieces, we solve for x to find the length of the shorter piece. The shorter piece of the copper pipe that Husain cut is 7.4 inches long.

Step-by-step explanation:

To find the length of the shorter piece of pipe that Husain cut from a 50-inch length of copper pipe, we need to set up an equation based on the information given:

Let x represent the length of the shorter piece. The longer piece is then 4x + 13 inches. Since the total length of the pipe is 50 inches, we can write the following equation:

x + (4x + 13) = 50

Combining like terms, we get:

5x + 13 = 50

Subtracting 13 from both sides, we get:

5x = 37

Dividing both sides by 5, we get:

x = 7.4

The shorter piece of copper pipe is 7.4 inches long.