#### Answer

524 lbs

#### Work Step by Step

The inequality would add up a variable, $x$, and the pre-added weights on the lift, 124 and 32. They would have to be equal to or less than 680. That would create:
$x+124+32\leq 680$
Then, simply solve it like an equation.
$x+156\leq 680$
$(x+156)-156\leq (680)-156$
$x\leq 524$
This means that with what's already on the chairlift, it can take another 524 lbs.
To check it, insert 524 into the inequality.
$524+124+32\leq 680$
$680\leq 680$✔
Below is how to graph it on the number line. All values within the arrow could be added to the chairlift.