Final answer:
To find the maximum number of hamburgers Carson can buy, subtract the cost of the tacos he bought from his total budget. Divide the remaining budget by the cost of each hamburger to get the maximum number. Take into account the minimum number of hamburgers and tacos he must buy altogether.
Step-by-step explanation:
To determine the maximum number of hamburgers that Carson could buy, we need to consider his budget and the number of tacos he already bought.
Carson has $65 to spend and has already bought 8 tacos. The hamburgers cost $6 each. So, the remaining amount he can spend on hamburgers is $65 - ($2.50 * 8) = $65 - $20 = $45.
The maximum number of hamburgers he can buy with $45 is $45 / $6 = 7.5.
Since Carson must buy a minimum of 12 hamburgers and tacos altogether, he can buy a maximum of 7 hamburgers.