the total weight of the cyclist and the bicycle is,
[tex]32+124=156lb[/tex]Let x be the additional weight
The sum of cyclist's weight and additional weight should be less than or equal to 680 lb.
[tex]x+156\leq680lb[/tex]Subtract 156 from both sides
[tex]\begin{gathered} x\leq680-156 \\ x\leq524 \end{gathered}[/tex]