jill has four of her five game scores:
8 6 6 3
her average score for the five games is 6 points. what is the fifth game score?
write an equation to help solve the problem.
6 * 5 = 30
Her total now is 23.
30 - 23 = ?
7 points
To find the fifth game score, we can use the concept of average.
The average of a set of numbers is equal to the sum of all the numbers divided by the total number of numbers.
In this case, we know that Jill's average score for the five games is 6 points. We also know that she has already played four games with scores of 8, 6, 6, and 3.
Let's say the fifth game score is represented by the variable "x". We can write the equation to find the fifth game score as:
(8 + 6 + 6 + 3 + x) / 5 = 6
Here, the sum of the scores of all five games (8 + 6 + 6 + 3 + x) is divided by the total number of games (5), resulting in an average score of 6.
To solve this equation, we can simplify it and then isolate the variable "x".
First, we multiply both sides of the equation by 5 to remove the denominator:
8 + 6 + 6 + 3 + x = 5 * 6
This simplifies to:
8 + 6 + 6 + 3 + x = 30
Next, we combine like terms:
23 + x = 30
To isolate the variable "x", we can subtract 23 from both sides of the equation:
x = 30 - 23
This gives us:
x = 7
Therefore, the fifth game score is 7.