To find the average of a set of test scores we divide the sum of the test scores by the number of test scores. On her first four algebra tests,Paula wests scored 88,92,97,and 96. Write an equation that can be used to determine the grade paula needs to obtain on her fifth test to have a 90 average. Solve the equation determine the score.
(88+92+97+96+x)/5 = 90
You had a hard time following the explicit instructions?
To write the equation, we need to find the average of Paula's first four algebra tests. The equation can be set up as follows:
(88 + 92 + 97 + 96 + x) / 5 = 90
In this equation, 'x' represents the score Paula needs to obtain on her fifth test.
Let's solve this equation to determine the score Paula needs to achieve on her fifth test.
By simplifying the equation, we have:
(373 + x) / 5 = 90
Now, we can multiply both sides of the equation by 5 to eliminate the denominator:
373 + x = 90 * 5
Simplifying further:
373 + x = 450
Next, we can isolate 'x' by subtracting 373 from both sides of the equation:
x = 450 - 373
Simplifying this expression:
x = 77
Therefore, Paula needs to score 77 on her fifth test to maintain an average of 90.