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Alan, Benton, Claire, and Dita divided the cost of throwing a party as shown in the circle. If Dita spent $12 more than Claire on the party, how much did Benton spend?

A. 32
B. 36
C. 44
D. 48

Answer :

Final answer:

To find out how much Benton spent, let Claire's spending be represented by x. Therefore, Dita's spending would be x + $12. The total cost of the party is divided among all four individuals.

Explanation:

To find out how much Benton spent, we need to first determine how much Claire spent. Since Dita spent $12 more than Claire, we can let Claire's spending be represented by x. Therefore, Dita's spending would be x + $12. The total cost of the party is divided among all four individuals, so we have the equation x + (x + $12) + x + x = Total cost of the party. Simplifying this equation, we get 4x + $12 = Total cost of the party. Let's say the total cost of the party is T dollars. Therefore, the equation becomes: 4x + $12 = T. To find how much Benton spent, we need to find the value of x that satisfies the equation. Once we find that, we can use that value to calculate Benton's spending.

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