CPM Homework Help : CC2 Problem 6-92

Write and solve an inequality for the following situation.

Robert is painting a house. He has $35$ cans of paint. He has used $30$ cans of paint on the walls. Now he needs to paint the trim. If each section of trim takes $\frac { 1 } { 2 }$ can of paint, how many sections of trim can he paint? Show your answer as an inequality with symbols, in words, and with a number line. Make sure that your solution makes sense for this situation.

Hint:

The total number of cans used must be less than or equal to $35$ cans of paint, and only $5$ cans can be used for the trim.

Answer:

$\frac{1}{2}\textit{x}+30\le35$

where $x$ is the number of sections of trim he can paint.