Ten treeks weigh as much as three squigs and one goolee. Two treeks and one goolee are equal in weight to one squig. The combined weight of how many treeks equals the weight of one squig?
This is a problem about units and ratios, so I will try to use some algebra to express the relationships given in the problem. Let t be the weight of one treek, s be the weight of one squig, and g be the weight of one goolee. Then I can write the following equations based on the problem:

10t = 3s + g
2t + g = s I want to find out how many treeks equals one squig, so I need to isolate s in one equation and then substitute it into the other. I will start with the second equation and solve for s:

s = 2t + g Now I will plug this into the first equation and simplify:

10t = 3(2t + g) + g
10t = 6t + 3g + g
4t = 4g
t = g This tells me that one treek and one goolee have the same weight. That means I can eliminate g from the second equation and get:

s = 2t + t
s = 3t This is the answer I was looking for. One squig is equal to the weight of three treeks. 