You score an 86 on the first of two exams. Write and solve an equation to find the score x
that you need on the second exam to have a mean score of 90.
i think there is a typo, so I solved for the score you need on the third exam.
90 = [2(86) + x] / 3
270 = 172 + x
98 = x
hope this helps :)
To find the score you need on the second exam to have a mean score of 90, you can set up the following equation:
(86 + x) / 2 = 90
Here, "86" represents the score you obtained on the first exam, "x" represents the score you need on the second exam, and "90" represents the desired mean score.
To solve for x, we can start by multiplying both sides of the equation by 2 to eliminate the fraction:
86 + x = 90 * 2
Simplifying further:
86 + x = 180
Next, subtract 86 from both sides of the equation to isolate x:
x = 180 - 86
x = 94
Therefore, you need to score a 94 on the second exam in order to have a mean score of 90.
To find the score you need on the second exam, we can set up an equation using the concept of the mean (average) score.
Let's denote the score you need on the second exam as "x." Now let's set up the equation:
(86 + x) / 2 = 90
In this equation, (86 + x) represents the sum of your scores on both exams, and dividing by 2 gives you the average score. We want this average score to be 90.
To solve the equation, we can start by multiplying both sides of the equation by 2 to get rid of the fraction:
86 + x = 180
Next, we can solve for x by subtracting 86 from both sides of the equation:
x = 180 - 86
Simplifying further, we have:
x = 94
Therefore, you would need to score a 94 on the second exam to have a mean score of 90.