If 60 feet of uniform wire weighs 80 pounds, what is the weight of 2 yards of the same wire?
To find the weight of 2 yards of the wire, we first need to convert the given measurements to the same unit.
Given:
Length of wire = 60 feet
Weight of wire = 80 pounds
Let's convert the length from feet to yards.
1 yard = 3 feet
So, 60 feet = 60/3 = 20 yards
Now, we can find the weight of 2 yards of the wire.
Since 20 yards of wire weighs 80 pounds, we can set up a proportion to find the weight of 2 yards.
20 yards / 80 pounds = 2 yards / x
Cross-multiply and solve for x:
20 * x = 80 * 2
20x = 160
x = 160/20
x = 8
Therefore, 2 yards of the wire weighs 8 pounds.
To determine the weight of 2 yards of the same wire, we need to convert yards to feet and then use the weight-per-foot information.
First, we know that 1 yard is equal to 3 feet. So, 2 yards would be equal to 2 * 3 = 6 feet.
Now that we have the length in feet, we can use the weight-per-foot information. We know that 60 feet of the wire weighs 80 pounds. Therefore, we can calculate the weight of 1 foot by dividing 80 pounds by 60 feet.
Weight per foot = 80 pounds / 60 feet = 4/3 pounds per foot.
Finally, to find the weight of 2 yards (6 feet) of the same wire, we can multiply the weight per foot by the length in feet:
Weight of 2 yards of wire = Weight per foot * Length in feet = (4/3 pounds per foot) * 6 feet = 8 pounds.
Therefore, the weight of 2 yards of the same wire is 8 pounds.
1 yard = 3 feet
60 / 3 = 20 yards
Set up a proportion, cross multiply and solve for x.
20/80 = 2/x