Respuesta :
Answer:
The combined weight of three treeks equals the weight of one squig.
Step-by-step explanation:
Given:
Ten treeks weigh as much as three squigs and one goolee. Two treeks and one goolee are equal in weight to one squig.
Now, to find the combined weight of treeks that equals the weight of one squig.
Let the treeks be [tex]t.[/tex]
The goolee be [tex]g.[/tex]
And the squig be [tex]s.[/tex]
As, ten treeks weigh as much as three squigs and one goolee:
[tex]10t=3s+1g[/tex]
Subtracting both sides by [tex]3s[/tex] we get:
[tex]10t-3s=1g[/tex]
[tex]1g=10t-3s\ \ \ ......(1)[/tex]
Now, two treeks and one goolee are equal in weight to one squig:
[tex]2t+1g=1s[/tex]
Substituting the value of [tex]1g[/tex] from equation (1) we get:
[tex]2t+(10t-3s)=1s[/tex]
[tex]2t+10t-3s=1s[/tex]
[tex]12t-3s=1s[/tex]
Adding both sides by [tex]3s[/tex] we get:
[tex]12t=4s[/tex]
Dividing by 4 on both the sides we get:
[tex]3t=1s[/tex]
Thus, 3 treeks = 1 squig.
Therefore, the combined weight of three treeks equals the weight of one squig.
