Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $3,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?  Choose the correct choice:
A) 15,500 B) 24,500 C) 25,500 D) 26,500 E) 27,500
OFFICIAL SOLUTION:   The problem asks for the amount of weekly sales it takes for Angelo and Isabella to earn the same amount of money. You can write an equation that sets Angelo’s and Isabella’s weekly earnings equal to each other, with x representing weekly sales. Weekly earnings for each salesperson equal base salary plus commission. So Angelo’s earnings are 550 + (0.08)(x – 3,000), and Isabella’s are 0.10x. Set up the equation and solve:   550 + (0.08)(x – 3,000) = 0.10x   Distribute the 0.08:   550 + 0.08x – 240 = 0.10x   Combine terms and subtract 0.08x from both sides:   310 = 0.02x   Divide both sides by 0.02:   15,500 = x   Your answer is 15,500.
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Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $3,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?