Question

A construction elevator can safely lift at most 4400 pounds. A concrete block weighs 41 pounds. What is the maximum number of concrete blocks that the elevator can lift?

Answer 1

Answer:

The maximum amount of concrete blocks that the elevator can lift is 107.

Step-by-step explanation:

Solving this problem entails of identifying the number of concrete blocks the construction elevator can safely hold. Start by setting up an equation based on the information given in the problem.

The maximum capacity for the elevator is 4,400 pounds. This is our total, other wise known as the what our equation should equal.

Each concrete block weighs forty one pounds and since we do not know how many blocks can fit while still maintain a safe weight, the amount of concrete blocks will be represented by the variable 'x'.

We have all the information needed to form an equation. Here's what it should look like:

(weight of each block = 41)(maximum amount of blocks = x) = (maximum elevator capacity = 4,400)

41x = 4,400

The equation is now written. We can use the division property of equality to solve, or simplify. This means we must divide both sides of the equation by forty one to isolate 'x' and determine its value.

41x = 4,400

41x / 41 = 4,400 / 41

x = 107.31

x ≈ 107

The value of x is found. This means that the elevator can hold a maximum capacity of 107 concrete blocks.