Mathematics
Grade-7
Easy

Question

Dave has earned scores of 87, 81, 92, 88, and 83 on the first five of six math tests for the semester. He would like to finish the semester with a test average of at least 90. Find the score Dave needs to earn on the sixth test to achieve his goal.

  1. X ≥ 109
  2. X >109
  3. X  86.2
  4. X< 86.2

hintHint:

formula for finding average
fraction numerator s u m space o f space t h e space v a l u e s space o f space a l l space n u m b e r over denominator t o t a l space n u m b e r end fraction

The correct answer is: X ≥ 109


    Dave has earned scores = 87, 81, 92, 88, and 83
    He would like to finish the semester with a test average of at least = 90
    so the test average score greater or equal than 90
    let Dave needs to earn on the sixth test score is X
    so average of all the six score greater or equal than 90
    fraction numerator 87 plus 81 plus 92 plus 88 plus 83 plus X over denominator 6 end fraction space greater or equal than space 90
fraction numerator 431 space plus space X over denominator 6 end fraction space greater or equal than 90
m u l t i p l y space b o t h space s i d e space b y space 6
431 space plus X space greater or equal than space 540
S u b s t r a c t space space 431 space b o t h space s i d e
431 space plus X space minus 431 space greater or equal than 540 space minus 431
X space greater or equal than space 109

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