contestada

James and Eric each mix 6 pitchers of lemonade. James makes 26 fluid Ounces of lemonade per pitcher, and Eric makes 32 fluid Ounces of lemonade per pitcher. They combine their lemonade and pour all of it into glasses. They fill as many glasses as possible with 8 fluid Ounces each. They pour the remaining lemonade into the last glass.​

Respuesta :

The number of fluid ounces of lemonade made by James and Eric is a

multiple of the number pitchers mixed.

Possible responses are as follows;

  • The number of glasses filled = 43 glasses
  • The volume of lemonade in the last glass = 8 fluid ounces

Reasons for arriving at the above responses:

Given and derived parameters;

The number of pitchers James and Eric mix = 6 pitchers each

Number of fluid ounces of lemonade James makes per pitcher = 26 fluid Ounces

Volume of lemonade Eric makes per pitcher = 32 fluid ounces

Solution:

Volume of lemonade James makes = 26 fluid Ounce × 6 = 156 fluid Ounces

Volume of lemonade Eric makes = 32 fluid ounces × 6 = 192 fluid Ounces

Total volume of lemonade made by James and Eric = (156 + 192) fluid Ounces = 344 fluid ounces

Volume of lemonade per glass = 8 Ounces

Number of glasses filled = 344 fluid Ounces ÷ 8 Ounces/glass = 43 glasses

Therefore, given that the number of glasses of 8 ounces of lemonade that can be filled using the 344 fluid ounces is exactly 43 glasses, we have;

  • The last glass is the 43rd glass
  • Volume of lemonade in the last glass is 8 fluid ounces

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