Manuel wants to sew some backpacks. He has 8 yards of fabric and each backpack uses 23
yard of fabric to make. How many backpacks can Manuel make?
To find how many backpacks Manuel can make, we need to divide the total amount of fabric Manuel has by the amount of fabric needed for each backpack.
Total yards of fabric / Yards of fabric per backpack = Number of backpacks
8 yards of fabric / 2/3 yard of fabric per backpack = Number of backpacks
To simplify the calculation, let's convert the fraction 2/3 to a decimal:
2/3 = 0.666...
Now we can calculate:
8 yards of fabric / 0.666... yards of fabric per backpack = Number of backpacks
Multiplying both numerator and denominator by 3, we get:
8 yards of fabric / (0.666... yards of fabric per backpack × 3) = Number of backpacks
8 yards of fabric / (2 yards of fabric per backpack) = Number of backpacks
Now we divide:
8 yards of fabric / 2 yards of fabric per backpack = Number of backpacks
The yards of fabric unit cancels out:
8 / 2 = Number of backpacks
Result:
Manuel can make 4 backpacks with 8 yards of fabric.