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The band, chorus, and theater group at a local high school agree to hold a joint bake sale to raise money. The profits from the bake sale will be split evenly among the three groups. If the total profit from the bake sale is $864, how much money will the band and theatre groups combined receive?

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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.

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