Question

Jeff's ribbon is 3/7 the length of Bill's ribbon. If both ribbons combined are 2 feet long, how long is Jeff's ribbon?

Answer 1

Jeff's ribbon is,
`(3)/(5)` feet long

Explanation:

Let J represents the length of Jeff ribbon and B represents the length of Bill ribbon.

As per the condition:

Jeff's ribbon is 3/7 the length of Bill's ribbon.

⇒
`J = (3)/(7)B` ......[1]

It is also given that: if both ribbons combined are 2 feet long.

⇒J + B = 2 ......[2]

Substitute the equation [1] into [2] we get;

`(3)/(7)B+B = 2`

Simplify:

`(10)/(7)B = 2`

Multiply both sides by
`(7)/(10)` we get;

`B = (7)/(5)` ribbons

Substitute the value of B in equation [1] we have;

`J = (3)/(7) * (7)/(5)= (3)/(5)` feet

Therefore, Jeff's ribbon is,
`(3)/(5)` feet long