Question

# Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. An elevator at a construction site

Modeling
Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. An elevator at a construction site has a maximum capacity of 3000 pounds. If the elevator operator weighs 245 pounds and each cement bag weighs 95 pounds, how many bags of cement can be safely lifted on the elevator in one trip?

We have: $$\displaystyle{245}+{95}{x}\le{3000}$$
We solve the inequality: $$\displaystyle{245}+{95}{x}-{245}\le{3000}-{245}$$
$$\displaystyle{95}{x}{<}{2755}$$</span>
$$\displaystyle{x}\le\frac{{2755}}{{95}}$$
$$\displaystyle{x}\le{29}$$