KlarisaL515505 KlarisaL515505
  • 03-11-2022
  • Mathematics
contestada

she has 78 inches of thread that she cut into 2 pieces. One piece is twice as long as the other piece. How long is each piece?

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AngelicC711458 AngelicC711458
  • 03-11-2022

Answer:

One piece is 26 inches long while the other is 52 inches long.

We let:

x = one piece of the thread

2x = the other piece of the thread

Since the thread is 78 inches long,

2x + x = 78

Solve for x:

[tex]2x+x=78\Rightarrow3x=78[/tex][tex]\frac{3x}{3}=\frac{78}{3}\Rightarrow x=26[/tex]

Since one piece of the thread is 26 inches long, the other piece would be:

[tex]2x=2(26)=52[/tex]

The other piece would be 52 inches long.

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