Answer:
let s = number of buttons on a shirt
let j = number of buttons on a jacket
Create 2 equations from the given information:
Equation 1: 36s + 42j = 842
Equation 2: 6s + 7j = 137
If we multiply equation 2 by 6 we get:
⇒ 36s + 42j = 822
Comparing this with equation 1, we can see that the number of shirts and jackets is now the same BUT the number of buttons is different
Therefore, her hypotheses is incorrect and we cannot solve to determine the number of buttons on a shirt and/or jacket.