Question

1. you are researching the price of mp3 players. you found an average price of $58.80. one mp3 player costs $56 and another costs $62. find the price of the third mp3 player.

Explanation:

Step1: Recall the formula for average

The average (mean) of a set of numbers is the sum of the numbers divided by the count of the numbers. Let the price of the third MP3 player be \( x \). The average of the three prices is given by \( \frac{56 + 62 + x}{3} \), and this is equal to \( 58.80 \).

Step2: Set up the equation

We set up the equation: \( \frac{56 + 62 + x}{3}=58.80 \)
First, simplify the numerator: \( 56 + 62 = 118 \), so the equation becomes \( \frac{118 + x}{3}=58.80 \)

Step3: Solve for \( x \)

Multiply both sides of the equation by 3 to get rid of the denominator: \( 118 + x = 58.80\times3 \)
Calculate \( 58.80\times3 = 176.4 \)
Then, subtract 118 from both sides: \( x = 176.4 - 118 \)
Calculate \( 176.4 - 118 = 58.4 \)

Answer:

The price of the third MP3 player is \(\$58.4\)