To solve this problem, we can set up a proportion and solve for the unknown quantity, which is the number of screws produced in 235 minutes.
282 screws / 30 minutes = x screws / 235 minutes
To solve for x, we can cross-multiply:
282 * 235 = 30 * x
Simplifying:
66270 = 30x
Dividing both sides by 30, we get:
x = 2209
Therefore, at the same rate, the machine would produce 2209 screws in 235 minutes