High School

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The 8th grade t-shirt sells for $12 and costs $9.45 to make. The school sells 215 of them to their 8th graders. If they allocate 85% of the profits to the 8th grade dance, which expression could be used to calculate the amount of money they raised for the dance?

A. 215(12 - 9.45)(0.85)
B. 215(12)(85)
C. 215(12 - 9.45)(0.15)
D. 215(12 - 9.45)(85)
E. 215(12) - (9.45)(0.85)

Answer :

Final answer:

The correct mathematical expression to calculate the money raised for the 8th grade dance is '215(12 - 9.45)(0.85)' which includes all the needed elements: number of t-shirts sold, profit per t-shirt and the percentage of profit allocated to the dance.

Explanation:

The right mathematical expression to calculate the amount of money raised for the 8th grade dance would be 'a.) 215(12 - 9.45)(0.85)'. The reasoning behind this choice is as follows: They sold 215 t-shirts, each generating a profit of $12 (selling price) - $9.45 (cost price), hence the total profit from selling the t-shirts would be 215 times the profit from each t-shirt (which is represented by 12 - 9.45). This total profit then needs to be multiplied by 85% or 0.85 (since 85% of the profit goes to the dance), thus the full expression becomes 215(12 - 9.45)(0.85).

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