Final answer:
The total profit of $864 will be divided equally among three groups, giving $288 to each. The combined total for the band and theatre groups is $576.
Step-by-step explanation:
If the total profit from the bake sale is $864, and this profit is to be split evenly among the three groups (band, chorus, and theatre group), we first need to divide the total profit by 3 to find out how much money each group will receive. This can be calculated as follows:
$864 ÷ 3 = $288 per group
Since the band and theatre groups are to receive their shares combined, we simply add the amount each group gets individually:
$288 (band) + $288 (theatre) = $576 combined
Therefore, the band and theatre groups combined will receive $576 from the bake sale profits.