On the first of three tests sally scored 75 points. on the third test her score was one point more than the second test her average on the three test was 82 what were her scores on the second and third test

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Halcomb909 Halcomb909

11-09-2017
Mathematics

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On the first of three tests sally scored 75 points. on the third test her score was one point more than the second test her average on the three test was 82 what were her scores on the second and third test

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coolstick coolstick · Answer 1 · 2017-09-11T03:07:27+02:00

If her second test was x and her third was x+1 (since it was 1 more than the second), we get 75+x+x+1=76+2x as our total test scores. Next, to get the average you add up the numbers and divide it by the amount of numbers you have. Since we have 3 tests and our sum is 76+2x, we divide it by 3 to get (76+2x)/3=average=82. Multiplying both sides by 3, we get 246=76+2x. Next, we subtract both sides by 76 to get 170=2x. Lastly, we divide both sides by 2 to get 85=x= the second test score. Her third test score is x+1=85+1=86