Question

Two ice cream machines make a total of 320 gallons in a certain amount of time working together for the same length of time. How many gallons of ice cream can each machine make if there are 7 ice cream machines?

A) 45.7 gallons
B) 46.0 gallons
C) 48.6 gallons
D) 50.0 gallons

Answer 1

Each ice cream machine can make approximately 91.43 gallons of ice cream.

Step-by-step explanation:

In this scenario, we have 2 ice cream machines that make a total of 320 gallons of ice cream when working together for the same amount of time. We need to find out how many gallons each machine can make if there are 7 machines in total.

To solve this, we can set up a proportion. Since the machines are working for the same amount of time, the amount of ice cream made by each machine is directly proportional to the number of machines. So, we have the following proportion: (2 machines / x gallons) = (7 machines / 320 gallons).

To solve for x, we can cross-multiply and then divide: 2 * 320 = 7 * x. Simplifying, we get 640 = 7x. Dividing both sides by 7 gives us x = 91.43. Therefore, each machine can make approximately 91.43 gallons of ice cream.