In a printing works, 75 000 leaflets are run off by two printing presses in 18 3/4 hours. One press delivers 200 more leaflets per hour than the other. Find the number of leaflets produced per hour by each of the machines.
Let x be the number of leaflets produced per hour by the first printing press.
Then the number of leaflets produced per hour by the second printing press is x + 200.
The total number of leaflets produced in 18 3/4 hours is 75,000. This is equal to the product of the total number of hours and the sum of the number of leaflets produced per hour by the two printing presses.
So, we have the equation:
18 3/4 * (x + x + 200) = 75,000
75/4 * (2x + 200) = 75,000
75/4 * 2x + 75/4 * 200 = 75,000
150x + 150*200 = 75,000
150x + 30,000 = 75,000
150x = 45,000
x = 300
So, the first printing press produces 300 leaflets per hour, and the second printing press produces 500 leaflets per hour.