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Writing an equation of the form Ax +B=C to solve a word

Karen sold t-shirts at a festival. She made $6 for each t-shirt she sold. Her expenses were $30. If she made a profit of $84, how? Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the
numbers 6, 30, and 84. Let x represent the number of t-shirts.
A) 6x+30=P
B) 30x+6=P
C) 84x−6=P
D) 6x−30=P

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Final answer:

To determine the number of t-shirts Karen sold to make a profit of $84, the correct equation is 6x - 30 = 84, with 'x' being the number of t-shirts.

Step-by-step explanation:

The question involves writing an equation in the form Ax + B = C to determine how many t-shirts Karen sold to make a profit of $84. Given that she earns $6 for each t-shirt and had expenses of $30, we can represent the number of t-shirts sold by 'x' and her profit by 'P'. The correct equation that relates the number of t-shirts sold to her profit would be her total earnings from the t-shirts minus her expenses equals her profit, which is D) 6x - 30 = P. Substituting the given profit of $84 for 'P', the equation becomes 6x - 30 = 84, which can be used to solve for 'x', the number of t-shirts sold.

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User Keirbtre
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