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contestada

Juan scored 15 points more on this test than
on his previous test. If the average of the
two tests is at least 92 and both scores are
integers, what are the least scores he could
have had on the two tests?

Respuesta :

fichoh

Juan's least integer scores in both tests will be 85 and 100 respectively.

  • Test average of his two scores is atleast 92

Let :

  • Score on test 1 = b
  • Score on test 2 = b + 15

Average score can be related thus:

  • (Sum of score ÷ number of test) ≥ 92
  • (b + b + 15) ÷ 2 ≥ 92
  • (2b + 15) ÷ 2 = 92
  • 2b + 15 = 184
  • 2b = 184 - 15
  • 2b = 169
  • b = 169 ÷ 2
  • b = 84.5

Therefore, since both scores are integers, his least scores on both tests will be ::

  • 85 and (85 + 15) = 100

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