SOLUTION: In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Mark has scored 76 , 94 , and 77 on the first three. What

Algebra ->  Inequalities -> SOLUTION: In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Mark has scored 76 , 94 , and 77 on the first three. What       Log On


   



Question 1201921: In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Mark has scored 76
, 94
, and 77
on the first three. What range of scores on the fourth test will give Mark a C for the semester (an average between 70
and 79
, inclusive)? Assume that all test scores have a non-negative value.

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

+70+%3C=+%2876%2B94%2B77%2Bx%29%2F4+%3C=+79+
Multiply by 4 and partly simplify middle term:
+280+%3C=+247+%2B+x+%3C=+316+
Subtract 247 from all three sides:
+33+%3C=+x+%3C=+69+
Mark needs to score in the range 33 to 69, inclusive, to obtain a C.