Peter consumes no commodities other than miller lite and bud light. his annual budget for these two commodities is described by the equation 5x  30y  300, where x is sixpacks of miller lite and y is cases of bud light. peter considers 2 cases of bud light to be perfect substitutes for 6 sixpacks of miller lite.

The answer Peter will consume 60 sixpacks of Miller lite per year.

The solution for this problem is:

The cost of 6 Miller six packs is 5 * 6 = 30.

Then the cost of 2 Bud cases is 30 * 2 = 60.

Consequently, Miller is low-priced so Peter will buy as much Miller as possible.  Therefore, 300 which is the budget divided by 5 is the cost for the Miller sixpacks = 60