Problem calculating average weights?

call the weights of the beans and containers be w_x, w_y and w_z

let the average weight = m

Therefore

w_x = mx + c

w_y = my + c

w_z = mz + c

where c= container weight and x, y, z are the number of beans

w_x - w_y = mx - my = m(x - y)

m = (w_x - w_y)/(x - y)

similarly m = (w_x - w_z)/(x - z) and

m = (w_y - w_z)/(y - z)

Take these 3 values of m (which you can calculate) and average them.

This average is your answer

OK Bob---

You know total wgt of beans + container for each container and you know the number of beans in each container.

Let's set up 3 equations: let w's be the total weight of each container

let b's be the numbers of beans in each container and c's be the weight of each container

And let x = weight of single bean.

equations:

w1 = b1*x + c1

w2 = b2*x + c2

w3 = b3*x + c3

Now you know w1-w3 and you know b1-b3 but you don't know x or the 3 c's.

So you've got 3 eqns and 4 unknowns. Adding these 3 equations you'd still have 1 equation and 4 unknowns. Regression won't work.

Yes you can. The slope/gradient will be the weight of a single jelly bean and the y-intercept will be the weight of the empty container.

How are you supposed to calculate the weights of the beans? You cannot do this

without knowing the weights of the containers.