A quilter has 6 yards of fabric that is 54 inches wide. The fabric weighs 3.4 ounces per square yard. What is the total weight of the fabric?
A) 2 lb 2.4 oz
B) 1 lb 4.5 oz
C) 1 lb 14.6 oz
D) 1 lb 13.6oz
54inches/36 = yards width
6(yards width)/3.4 = total weight
However, I don't get any of those choices exactly.
To find the total weight of the fabric, we need to calculate the area of the fabric and then multiply it by the weight per square yard.
First, let's convert the width of the fabric from inches to yards. Since there are 36 inches in a yard, we divide 54 inches by 36 to get 1.5 yards as the width.
Next, we multiply the length (6 yards) by the width (1.5 yards) to find the area of the fabric in square yards: 6 yards * 1.5 yards = 9 square yards.
Finally, we multiply the area (9 square yards) by the weight per square yard (3.4 ounces) to get the total weight of the fabric: 9 square yards * 3.4 ounces = 30.6 ounces.
Now, we need to convert the weight from ounces to pounds. Since there are 16 ounces in a pound, we divide 30.6 ounces by 16 to convert it to pounds. The result is approximately 1.91 pounds.
Since the answer choices are given in pounds and ounces, we convert 0.91 pounds to ounces by multiplying it by 16. The result is 14.56 ounces, which we can round to 14.6 ounces.
Therefore, the total weight of the fabric is approximately 1 pound 14.6 ounces.
Hence, the correct answer is option C) 1 lb 14.6 oz.