We are buying glazed and chocolate donuts. The glazed donuts cost .15 each and chocolate cost .25 each. we want to buy a mixture of both of at least 48 donuts and spend less than 12.
Set up the system of linear inequalities and solve:
We know that g+c is great than or equal to 48
.15g+.25c is less than 12.00
We keep coming up with something that does not work base on the question
Let g = number of glazed donuts
Let c = number of chocolate donuts
So, now we have two constraints for g. We also know that g>0 and c>0, since you cannot buy negative donuts.
The region between the black (g=48-c) and red lines (g=80-(5/3)c) bounded by the lines g=0 and c=0 are the solutions to the inequalities. Therefore (approximately):
0<c<48 and 0<g<80