Test Score

Probability Level 1

John must take four 100-point tests in her math class. His goal is to achieve an average grade of 95 on the tests. His first two test scores were 97 and 91. After seeing his score on the third test, he realized he can still reach his goal. What is the lowest possible score he could have made on the third test?

97 92 90 96

1 solution

Sam Bealing
Jul 4, 2016

To get an average score of $95$ you must score $95 \times 4=380$ over the $4$ tests.

The maximum mark on the $4^{\text{th}}$ test is $100$ so the lowest possible mark on the $3^{\text{rd}}$ test is:

$380-(97+91+100)=\boxed{\boxed{92}}$

Moderator note:

Simple standard approach.

The solution could be improved by explaining why we should look at the maximum mark on the 4th test to find the minimum possible mark on the 3rd test.

Test Score

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