Pat and Kris are roommates. They spend most of their time studying (of course), but they leave some time for their favorite activities: making pizza and brewing root beer. Pat takes 4 hours to brew a gallon of root beer and 2 hours to make a pizza. Kris takes 6 hours to brew a gallon of root beer and 4 hours to make a pizza. Assuming that they each have 18 hours to spend making pizza and root beet, how much pizza and root beer could Pat and Kris make

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ryder8802 ryder8802

19-09-2019
Mathematics

contestada

Pat and Kris are roommates. They spend most of their time studying (of course), but they leave some time for their favorite activities: making pizza and brewing root beer. Pat takes 4 hours to brew a gallon of root beer and 2 hours to make a pizza. Kris takes 6 hours to brew a gallon of root beer and 4 hours to make a pizza. Assuming that they each have 18 hours to spend making pizza and root beet, how much pizza and root beer could Pat and Kris make

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lcmendozaf lcmendozaf · Answer 1 · 2019-09-26T00:49:14+02:00

Answer:

Total amount of pizzas: 6

Total gallons of root beer: 4

Step-by-step explanation:

In 18 hours this is what each one of them could make. (Assuming that none of them can make pizza and brew at the same time)

Pat takes 6h to brew one gallon and make one pizza. So, 18h divided by 6, gives us a total of 3 gallons of beer and 3 pizzas.

Kris takes 10h to brew one gallon and make one pizza. So, 18h divided by 10 gives us 1 and 8h left that Kris could use to make another 2 pizzas. The total for Kris would be 1 gallons of beer and 3 pizzas.

Combined, the totals are:

4 gallons of root beer (3 Pat and 1 Kris) and 6 pizzas (3 each).