Test performances

Algebra Level 3

Randy had an overall average of 70% from four Maths tests. He gave two more tests and his new average was 80%. What was his average after the 5th test?

76% 74% Cannot be determined 75%

Sunny Singh by Sunny Singh , 33, India

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1 solution

Andrew Courtney
Nov 21, 2017

Assume every test is out of 100 100 points. Then after the first four tests Randy has 70 × 4 = 280 70 \times 4 = 280 points. After the first six tests, Randy has 80 × 6 = 480 80 \times 6 = 480 points. Then the number of points he accumulates on the fifth and sixth tests is 480 − 280 = 200 480 - 280 = 200 . This clearly means that on both tests he gets 100 100 points. Then after the fifth test, his average is 280 + 100 4 + 1 = 76 \frac{280 + 100}{4 + 1}= 76 points, or 76 % \boxed{76\%} .

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