anonymous
  • anonymous
John had the average score of 84 on his first three Checkpoints. The first score was 67. The second score was 7 less than the third score. What are his scores in the second and third Checkpoints?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[ Let\ s_2\ and\ s_3\] be the scores on the second and third checkpoints respectively. The average score would be \[ Average = \frac{s_1+s_2 + s_3}{3}\] Since the score on the first checkpoint is 67, and the average is 84 we have: \[84 = \frac{67 + s_2 +s_3}{3} \] We are also given that the second score was 7 less than the third.. \[ \rightarrow s_2 = s_3-7\] We have 2 equations and 2 unknowns. Solve for s2 and s3.

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