what can you conclude about his first score?

Question

Drew's second test score was 6 points higher than his first. If his average was less than 80, what can you conclude about his first score?

Answer 1

[x + (x+6)]/2 < 80

x + (x+6) < 160

2x + 6 < 160

2x < 154

x < 77

 

His first test, the lower grade, was less than 77.

 

If we go for the highest grades in integer format

we can assume his grades were, at most 

76 and 82, the average of which is 79.

 

Answer 2

[X + (X+6)]/2 < 80

 

(2x+6) < 160

 

2x < 154

 

x < 77

 

He scored less than 77 on the first test

and less than 83 on the second test

Answer 3

Let x = Drew's first test score. The average of his two test scores is:

 

(x + x+6)/2 < 80

 

Solve for x