If the machine makes 2 chairs every 10 minutes, then it makes 1 chair in 5 minutes (since 10/2 = 5).
To make 5 chairs, the machine will need 5 times as much time, which is 5 x 5 = 25 minutes.
To fulfill an order for 32 chairs, the machine will need to make 32/2 = 16 sets of 2 chairs.
This means the machine will take 16 x 10 = 160 minutes to make 32 chairs.
I obtained these answers by using basic math. First, I found out how many chairs the machine makes in one minute by dividing the rate of production (2 chairs every 10 minutes) by the number of minutes (10). That gave me the production rate of 1 chair every 5 minutes.
Using that production rate, I could then multiply it by the number of chairs I needed to find out how many minutes it would take for the machine to produce them.
For the order of 32 chairs, I used the production rate to figure out how many sets of two chairs the machine would need to make to reach the total amount. And then I multiplied that number by the time it takes to make two chairs (10 minutes) to get the total time it would take to produce 32 chairs.