Bella is baking blueberry muffins for an event. It takes 3/5 of a cup of flour to bake 6 muffins. She 1 1/10 uses cups of flour for every 50 blueberries used. There are a total of 150 blueberries for each tray of muffins. If Bella is baking 2 trays of blueberry muffins, then how many muffins will she bake in total?

1 answer

To find out how many muffins Bella will bake in total when she bakes 2 trays, we need to first determine how many muffins she can bake with the given number of blueberries per tray.

  1. Determine the number of blueberries used per tray and for two trays:

    • Each tray has a total of 150 blueberries.
    • Therefore, for 2 trays: \[ 150 \text{ blueberries/tray} \times 2 \text{ trays} = 300 \text{ blueberries} \]
  2. Determine how many cups of flour are needed for 300 blueberries:

    • Bella uses \( 1 \frac{1}{10} \) cups of flour for every 50 blueberries. First, convert \( 1 \frac{1}{10} \) to an improper fraction: \[ 1 \frac{1}{10} = \frac{10}{10} + \frac{1}{10} = \frac{11}{10} \text{ cups of flour} \]
    • Now, we can find how many cups of flour are needed for 300 blueberries:
      • First, calculate the number of 50 blueberry groups in 300 blueberries: \[ \frac{300 \text{ blueberries}}{50 \text{ blueberries/group}} = 6 \text{ groups} \]
      • Next, multiply the number of groups by the amount of flour needed per group: \[ 6 \text{ groups} \times \frac{11}{10} \text{ cups/group} = \frac{66}{10} = 6.6 \text{ cups of flour} \]
  3. Determine how many muffins can be baked with 6.6 cups of flour:

    • We know that \( \frac{3}{5} \) of a cup of flour is required to bake 6 muffins. Determine how many cups of flour are needed for one muffin: \[ \frac{3}{5} \text{ cups} \text{ per 6 muffins} = \frac{3/5}{6} = \frac{3}{30} = \frac{1}{10} \text{ cups per muffin} \]
    • Next, calculate how many muffins can be made with 6.6 cups of flour: \[ \text{Muffins} = \frac{6.6 \text{ cups}}{\frac{1}{10} \text{ cups/muffin}} = 6.6 \times 10 = 66 \text{ muffins} \]
  4. Conclusion:

    • Bella will bake a total of 66 muffins for the 2 trays.