31
practice examMultiple Choice

Practice Exam

Question 31 • Algebra II

The table shows the number of different types of faucets sold over three months and the total selling price of the items. Number of Faucets Sold and Total Selling Price Kitchen Sink Bathroom Sink Shower Total Selling Price January 15 8 7 2 dollars comma 830 February 17 12 8 3 dollars comma 450 March 24 25 21 6 dollars comma 680 The company makes a profit of 15 percent on every faucet sold. What is the profit on one shower faucet?

Answer
A
18 point 0 0 dollars
B
13 point 5 0 dollars
C
14 point 1 5 dollars
D
12 point 0 0 dollars

Explanation

Let the selling prices of a kitchen, bathroom, and shower faucet be k, b, and s. Comparing February with January gives 2k + 4b + s = 620; using the January and March totals as well gives k = 90, b = 80, and s = 120. The profit on one shower faucet is 15% of $120, which is $18, so the answer is $18.00.

AI-written and checked against the verified answer.

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