Answer
The worker has made a mistake because if the equations are true, dolls would have to weigh -3oz each which in reality is not possible.
Work Step by Step
Lets create two equations first. *the number of dolls=d, and the number of polish toys=p*
1. 3d+4p=11 oz
2. 2d+3p=9 oz
(we subtracted 1 oz from the weight that the worker measured because the box itself weighs 10z)
Then, we multiply the first equation by 2 and the second equation by 3.
Now we have:
1. 6d+8p=22
2. 6d+9p=27
Now, we can use elimination as our method for solving this system. We can subtract 6d from both equations. This leads us to the equation:
-p=-5
When we solve for p, we p=5. Now when we substitute this value into the first equation to get out weight for dolls, we get
3d+4(5)=11
3d+20=11 (Simplify)
3d=-9 (Subtract 20)
d=-3oz (divide by 3)
As mentioned above, this answer is not possible due to the fact that the a doll cannot have a negative weight.
