3 assembly lines can fill 24 orders for a shipping company in 10 hours. At the same rate, how many orders could 7 assembly lines fill in 5 hours for the company?

28. This is because each assembly line makes 8 orders for ten hours. That means for every hour, an assembly can make 0.8 orders. When you multiply that by 5 hours and 7 assembly lines you get 28 orders

3 assembly lines can fill 24 orders in 10 hours, therefore in 1 hour 3 assembly lines can fill 2.4 orders (24/10), consequently, 1 assembly line can fill 0.8 orders (2.4/3) in 1 hour. Therefore, 7 assembly lines can fill 5.6 (7*0.8) orders in an hour and thus the 7 assembly lines in 5 hours would fill (5.6 * 5) = 28 orders.

Therefore, the answer is 28 orders