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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?  

Respuesta :

cedarwood79
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:

160 inches longer.

Step-by-step 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 [tex]2x[/tex].

We can represent this information in an equation as:  

[tex]2x+90=230[/tex]  

[tex]2x+90-90=230-90[/tex]

[tex]2x=140[/tex]

[tex]\frac{2x}{2}=\frac{140}{2}[/tex]

[tex]x=70[/tex]

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

Now, we will subtract 70 from 230 as:

[tex]230-70=160[/tex]

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

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