There are two sizes of boxes, the big one can hold 11 balls, the small one can hold 8 balls, a total of 89 balls. If you want to fill all the boxes, you need a total of two sizes of boxes

There are two sizes of boxes, the big one can hold 11 balls, the small one can hold 8 balls, a total of 89 balls. If you want to fill all the boxes, you need a total of two sizes of boxes

Suppose there are x large boxes and Y small boxes
11x + 8y = 89, the equation can be changed to: X=
89-8y /11
Because X and y are integers, 89-8y must be a multiple of 11,
So, only if x = 3 and y = 7 are the integer solutions of this equation,
A: three large boxes and seven small boxes