In an algebra test, the highest grade was 50 points higher than the lowest grade. The sum of the two | MathCelebrity Forum

In an algebra test, the highest grade was 50 points higher than the lowest grade. The sum of the two

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In an algebra test, the highest grade was 50 points higher than the lowest grade. The sum of the two grades was 180.

Let the high grade be h and the low grade be l. We're given:
  1. h = l + 50
  2. h + l = 180
Substitute equation (1) into equation (2) for h
l + 50 + l = 180

To solve this equation, we type it in our search engine and we get:
l = 65

Now, we take l = 65 and substitute it into equation (1) to solve for h:
h = 65 + 50
h = 115
 
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