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
To find out how many backpacks Manuel can make, we need to divide the total amount of fabric Manuel has (8 yards) by the amount of fabric required to make one backpack (2/3 yard).
8 yards ÷ (2/3) yard = 8 yards × (3/2) = 24/2 = 12
Therefore, Manuel can make 12 backpacks.
To find out how many backpacks Manuel can make, we need to divide the total amount of fabric he has by the amount of fabric needed to make one backpack.
Manuel has 8 yards of fabric, and each backpack uses 2/3 yard of fabric.
So, we need to divide 8 by 2/3:
8 ÷ 2/3
To divide by a fraction, we can multiply by its reciprocal:
8 × 3/2
When we multiply, we get:
(8 × 3) ÷ 2
The calculation gives us:
24 ÷ 2 = 12
Therefore, Manuel can make 12 backpacks using 8 yards of fabric.
To determine the number of backpacks Manuel can make with 8 yards of fabric, we need to divide the total fabric by the fabric required for each backpack.
Each backpack requires 2/3 yard of fabric. So we can set up a ratio:
Total fabric / Fabric required per backpack = Number of backpacks
Plugging in the values, we have:
8 yards / (2/3) yard = Number of backpacks
To divide by a fraction, we can invert and multiply:
8 yards * (3/2) = Number of backpacks
Multiplying 8 yards by 3/2 gives us:
24/2 = Number of backpacks
Simplifying, we have:
12 = Number of backpacks
Therefore, Manuel can make 12 backpacks with 8 yards of fabric.