Machine A prints 10 pages more than Machine B every minute. Machine C prints half as fast as Machine A. The three machines print a total of 270 pages in 3 minutes. At this rate, how many pages does Machine C print in 1 minute? Ans: ___

1. Find the total number of pages printed by the three machines in 1 minute.

Total pages in 1 minute = $270 \div 3 = 90$

2. Set up an algebraic expression for the printing rate of each machine.

Let Machine A print $2u$ pages per minute.
Machine C prints half as fast as A, so Machine C prints $u$ pages per minute.
Machine A prints 10 pages more than B, so Machine B prints $2u - 10$ pages per minute.

3. Form an equation using the total printing rate and solve for $u$.

Total rate = $2u + (2u - 10) + u = 90$
$5u - 10 = 90$
$5u = 100$
$u = 20$

4. Calculate the number of pages Machine C prints in 1 minute.

Machine C prints $u$ pages per minute.
$u = 20$