A factory makes 560 fans in 7 days with the help of 20 machines. How many fans can be made in 12 days with help of 16 machines?

864

768

964

$Fans \propto Machines \times Days$

Let $x$ be the number of fans produced in 12 days with 16 machines.

Set up the proportion:

$560$ 20×7=x/16×12

$560/140 =x/ 192$ $4 =x/ 192 \Rightarrow x = 4 \times 192 = 768$