Question

A length of wire is cut in the ratio 4:5. If the second piece is 75 meters, what is the length of the first piece?

A) 60 meters.
B) 80 meters.
C) 64 meters.
D) 100 meters.

Answer 1

To find the length of the first piece of wire in a ratio, set up a proportion using the given ratio and solve for the missing variable.

Step-by-step explanation:

To find the length of the first piece of wire, we can set up a proportion using the given ratio. The ratio is 4:5, so we can write it as 4/5. If the second piece is 75 meters, we can set up the proportion as 4/5 = x/75. To solve for x, we can cross multiply and divide: 4 * 75 = 5 * x. This gives us 300 = 5x. Dividing both sides by 5, we find x = 60.

The length of the first piece of wire is

60 meters

.