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There's a heat wave this weekend and Sophie is making fresh lemonade. She fills up a pitcher to keep in the fridge and has 22 pints of lemonade left. She wants to freeze it and use the cubes to keep the lemonade cold. Each ice cube tray holds 49\frac{4}{9} of a pint of liquid. How many trays does Sophie fill? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ trays

Full solution

Q. There's a heat wave this weekend and Sophie is making fresh lemonade. She fills up a pitcher to keep in the fridge and has 22 pints of lemonade left. She wants to freeze it and use the cubes to keep the lemonade cold. Each ice cube tray holds 49\frac{4}{9} of a pint of liquid. How many trays does Sophie fill? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ trays
  1. Identify Lemonade Amount: Identify the total amount of lemonade and the capacity of each tray.\newlineSophie has 22 pints of lemonade. Each tray holds 49\frac{4}{9} of a pint.
  2. Calculate Trays Needed: Calculate the number of trays needed by dividing the total lemonade by the capacity of each tray.\newlineNumber of trays =Total lemonadeCapacity per tray= \frac{\text{Total lemonade}}{\text{Capacity per tray}}\newlineNumber of trays =2(4/9)= \frac{2}{(4/9)}\newlineNumber of trays =2×(9/4)=4.5= 2 \times (9/4) = 4.5
  3. Round Up to Whole Number: Since trays can't be filled partially in real life, round up to the nearest whole number. Sophie needs 55 trays.

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