SOLUTION: Student need an average of 70 or more to receive credit for the course. She scored 82, 64, and 98 on the first three exams. Write an inequality representing the score she must get

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Student need an average of 70 or more to receive credit for the course. She scored 82, 64, and 98 on the first three exams. Write an inequality representing the score she must get       Log On


   



Question 71138: Student need an average of 70 or more to receive credit for the course. She scored 82, 64, and 98 on the first three exams. Write an inequality representing the score she must get on the last test to receive credit for the course.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
In order to receive an average score of 70 on the four exams, she must receive at least a score of 36 on the fourth test. Here's how you calculate this: Let x = the score on the fourth test.
The scores for the four tests are: 82, 64, 98, and x. The average of these is to be at least 70 or A+%3E=+70, so computing the average:
%2882%2B64%2B98%2Bx%29%2F4+%3E=+70 Simplifying this, you get:
%28244%2Bx%29%2F4+%3E=+70 Multiply both sides of the inequality by 4.
244%2Bx+%3E=+280 Now subtract 244 from both sides.
x+%3E=+36