Final answer:
To find the number of hamburger orders, multiply the scale factor of the ratio with the given number of hot dog orders.
Step-by-step explanation:
To find the number of hamburger orders, we need to use the given ratio of 15:10.
First, we need to find the scale factor to compare hot dog orders with hamburger orders.
The scale factor is 15/10 = 1.5.
To find the number of hamburger orders, we can multiply the scale factor by the number of hot dog orders.
So, if there were 50 hot dog orders, there would be 1.5 * 50 = 75 hamburger orders.