Melody and river are making hot cocoa for a winter festival. melody is able to make 14 cups per minute and river makes 10 cups per minute. how many hours will it take them working together to make 225 gallons of hot cocoa?

It will take them 2.5 hours to make 225 gallons of hot cocoa.  

Step-by-step explanation:

In order to find out the number of gallons of hot cocoa that can be made, you need to convert the amount of gallons to cups so you can compare the amount that Melody and River can make to the same measurement.  Since there are 16 cups per gallon, than: 225 x 16 = 3600 cups.  

Melody can make 14 cups per minute and River can make 10 cups per minute, for a total of 14 + 10 = 24 cups per minute.  Since there are 60 minutes in an hour, they can make a total of 24 x 60 = 1,440 cups per hour.  

To find the amount of hours it will take to make 3600 cups per hour, we divide:

= 2.5 hours.

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step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1