Manuel wants to sew some backpacks. He has 8 yards of fabric and each backpack uses 2/3 yard of fabric to make. How many backpacks can Manuel make?(1 point)
backpacks
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To find out how many backpacks Manuel can make, we divide the total amount of fabric by the amount of fabric needed to make one backpack.
Total amount of fabric = 8 yards
Amount of fabric needed for one backpack = 2/3 yard
Number of backpacks = Total amount of fabric / Amount of fabric needed for one backpack
Number of backpacks = 8 yards / 2/3 yard
To divide by a fraction, we multiply by its reciprocal:
Number of backpacks = 8 yards * 3/2 yard
Number of backpacks = 12 yards/2 yard
Number of backpacks = 6
Therefore, Manuel can make 6 backpacks.
wrong
I apologize for the mistake. Let's recalculate.
To find out how many backpacks Manuel can make, we divide the total amount of fabric by the amount of fabric needed to make one backpack.
Total amount of fabric = 8 yards
Amount of fabric needed for one backpack = 2/3 yard
Number of backpacks = Total amount of fabric / Amount of fabric needed for one backpack
Number of backpacks = 8 yards / (2/3) yards
To divide by a fraction, we multiply by its reciprocal:
Number of backpacks = 8 yards * (3/2) yards
Number of backpacks = 24/2 yards
Number of backpacks = 12
Therefore, Manuel can make 12 backpacks.