AnswersPrecalculusCramer's Rule — Unit testQuestion 12
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Cramer's Rule — Unit test

Question 12 • Precalculus

The table below 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 SinkBathroom SinkShowerTotal Selling PriceJanuary1587$2,830February17128$3,450March242521$6,680The company makes a profit of 15% on every faucet sold. What is the profit on one shower faucet?

Answer
A
$12.00
B
$13.50
C
$14.15
D
$18.00

Explanation

Let K, B, and S be the selling prices of a kitchen, bathroom, and shower faucet. Using the monthly totals, the equations are 15K + 8B + 7S = 2,830, 17K + 12B + 8S = 3,450, and 24K + 25B + 21S = 6,680; solving gives S = $120. The profit on one shower faucet is 15% of $120, or 0.15 × 120 = $18.00, choice D.

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