Question

a freight elevator has a maximum - weight limit of 3,200 pounds. the elevator is being loaded with crates that each weigh 300 pounds. the forklift used to move the boxes weighs 175% as much as one crate. how many crates can fit onto the elevator if the forklift is also on the elevator? select all that apply.
a 6 crates
b 8 crates
c 10 crates
d 12 crates

Explanation:

Step1: Calculate weight of forklift

The forklift weighs 175% as much as one crate. Since one crate weighs 300 pounds, the weight of the forklift is $1.75\times300 = 525$ pounds.

Step2: Set up inequality for number of crates

Let $n$ be the number of crates. The total weight of the crates and the forklift must be less than or equal to the maximum weight limit of the elevator. So the inequality is $300n + 525\leq3200$.

Step3: Solve the inequality for $n$

First, subtract 525 from both sides: $300n\leq3200 - 525=2675$. Then, divide both sides by 300: $n\leq\frac{2675}{300}\approx8.917$.
Since the number of crates must be an integer, the maximum number of crates is 8.

Answer:

B. 8 crates