Question

a piece of yellow yarn was 230 inches long. After 90 inches had een cut from it,,, the piece of yellow yarn was twice as longas a piece of blue yarn. How much longer than the blue yarn was the yellow yarn at first?

Answer 1

Okay. So 90 yds was cut from the 230 yd yarn. 230 - 90 = 140. 1/2 of 140 is 70. 230 - 70 = 160. The yellow yarn was 160 yds longer than the blue yarn at first.

Answer 2

160 inches longer.

Explanation:

Let x represent the length of the blue yarn.

We have been given that a piece of yellow yarn was 230 inches long. After 90 inches had been cut from it, the piece of yellow yarn was twice as long as a piece of blue yarn.

Twice the length of blue yarn would be
`2x`.

We can represent this information in an equation as:

`2x+90=230`

`2x+90-90=230-90`

`2x=140`

`(2x)/(2)=(140)/(2)`

`x=70`

Therefore, the length of blue yarn is 70 inches long.

Now, we will subtract 70 from 230 as:

`230-70=160`

Therefore, the yellow yarn was 160 inches longer than the blue yarn.