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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. at first, how much longer was the yellow yarn than the blue yarn?

Respuesta :

230 - 90 = 140
140 / 2 = 70
230 - 70 = 160
160 inches longer

We want to solve an algebraic equation to see how the lengths of two pieces of yarn compare.

We will see that, at first, the piece of yellow yarn was 3.29 times longer than the piece of blue yarn.

Let's see how to solve this.

We know that the piece of yellow yarn is originally 230 in long.

If we remove 90 inches, the new length will be:

230 in - 90 in = 140 in.

At this point, the piece of yellow yarn is twice as long as the piece of blue yarn. Then if we define L as the length of the piece of blue yarn, we have that:

140 in = 2*L

140 in/2 = L = 70 in

So we can see that the piece of blue yarn is 70 inches long.

Now we want to know how much longer was the yellow yarn than the blue yarn at first.

This will be given by the quotient between the lengths:

(230 in)/(70 in) = 3.29

This means that, at first, the piece of yellow yarn was 3.29 times larger than the piece of blue yarn.

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