lyle was a careful craftsman, but he wasn't very creative. for example, he only sold two types of wooden benchs: stain and unstained. The unstained benches cost $20 each and the stained cost $32 each. If lyle sold 21 benches last month (stained and unstained combined) and collected a total of $600, how many unstained benches did he sell?

1 answer

Let x be the number of unstained benches sold and y be the number of stained benches sold.

From the problem, we know that x + y = 21 and 20x + 32y = 600.

Solving the first equation for y, we get y = 21 - x.

Substitute this into the second equation:

20x + 32(21 - x) = 600
20x + 672 - 32x = 600
-12x + 672 = 600
-12x = -72
x = 6

Therefore, Lyle sold 6 unstained benches.