Math Practice Test Math Practice Test A store is selling 14 guitars for \( \$ 240 \) each, 3 for \( \$ 550 \) each, and 6 for \( \$ 300 \) each. What is the mean price of the guitars?
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To find the mean price of the guitars, you need to calculate the total cost of all the guitars and then divide by the total number of guitars. First, calculate the total price for each group: - 14 guitars at \$240 each: \( 14 \times 240 = 3360 \) - 3 guitars at \$550 each: \( 3 \times 550 = 1650 \) - 6 guitars at \$300 each: \( 6 \times 300 = 1800 \) Now, add these amounts together to find the total cost: \( 3360 + 1650 + 1800 = 6810 \) Next, add the total number of guitars: \( 14 + 3 + 6 = 23 \) Finally, divide the total cost by the total number of guitars to find the mean price: \( \frac{6810}{23} \approx 296.09 \) So, the mean price of the guitars is approximately \$296.09.
