Question:
The Wing Station wants the average price of the lunch meal deals to be $8. Lunch Meal Deal Prices Item Price ($)
Deluxe hamburger $9
Reuben sandwich $7
Chicken wings
Chicken stir fry $9
Cobb salad $6
Make your own sandwich $10
What does the price of the chicken wings need to be for this to happen? $6 $7 $8 $9
Answer:
$7
Explanation:
Given
[tex]Items = 6[/tex]
[tex]Average = \$8[/tex]
Required
Determine the price of chicken wings
Represent the price of chicken wings with x.
The average of the price of items is calculated as:
[tex]Average = \frac{\sum x}{n}[/tex]
In this case, we have:
[tex]8 = \frac{9 + 7 + x + 9 + 6 + 10 }{6}[/tex]
Collect Like Terms
[tex]8 = \frac{x + 41 }{6}[/tex]
Multiply both sides by 6
[tex]6 * 8 = \frac{x + 41 }{6} * 6[/tex]
[tex]48 = x + 41[/tex]
Subtract 41 from both sides
[tex]48 - 41 = x + 41 - 41[/tex]
[tex]48 - 41 = x[/tex]
[tex]x = 48 - 41[/tex]
[tex]x = 7[/tex]
Hence, the price of chicken wings must be $7
