I have this problem for homework which I am having trouble understanding..
At a cake store, the cost of a Red Cake is 11 dollars and the cost of a Blue Cake is 8 dollars. What conclusions can be made if each of the total bill's for these 3 customers happen to be these following amounts?
I looked for solutions for all 3, Diophantine equation solver for 8x+11y=96 , 8x+11y=777, 8x+11y=69. And the only thing that I noticed strange was that in most cases y or x was a negative number, does that mean that the bill would be impossible to create with just those two items?
EDIT: In a previous thread someone said 96 and 777 have solutions though, I can't seem to find a solution for any of these equation that don't involve x or y being negative, what am i missing here?