SOLUTION: A professor announces that course grades will be computed by taking 40% of a student's project score (0-100 points) and adding 60% of the students final exam score (0-100 points).

Question 638354: A professor announces that course grades will be computed by taking 40% of a student's project score (0-100 points) and adding 60% of the students final exam score (0-100 points). If a student gets an 86 on the project, what scores can she get on the final exam to get a course grade of at least 90?
These are some conclusions I've made, which may or may not be correct.
40%(86)+60%(x) is greater than or equal to 90. I am confused by the word "And" in the problem. Does this let me know that this is a compound inequality? If so, what other numbers do I use to create another inequality...100?
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
professor announces that course grades will be computed by taking 40% of a
student's project score (0-100 points) and adding 60% of the students final
exam score (0-100 points).
If a student gets an 86 on the project, what scores can she get on the final exam to get a course grade of at least 90?
:
Here is one equation for this, the relationship between the project and final
exam is 4:6
:
x = students grade on the final exam
=> 90
=> 90
multiply both sides by 10
344 + 6x => 900
6x => 900 - 344
x => 556/6
x => 93 on the final exam to achieve an average of 90 for the course
:
:
You can confirm this: .4(86) + .6(93) = 90.2 (we rounded up 92.6667)

Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!
A professor announces that course grades will be computed by taking 40% of a student's project score (0-100 points) and adding 60% of the students final exam score (0-100 points). If a student gets an 86 on the project, what scores can she get on the final exam to get a course grade of at least 90?
These are some conclusions I've made, which may or may not be correct.
40%(86)+60%(x) is greater than or equal to 90. I am confused by the word "And" in the problem. Does this let me know that this is a compound inequality? If so, what other numbers do I use to create another inequality...100?

Your inequality is correct. What "and" are you referring to?

x, or scores the student needs on the final to score at least a 90 MUST BE > OR = %

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