If a student gets zero on a test with 25%, what percentage would the student need to get on a test worth 25% and another test worth 50% in order to get 40% in total?

Question

Test 1of course is worth 25%: student gets 0

Test 2 of course is worth 25%: what would the student need to get to contribute to the total of 40% pass mark of the entire course?

Test 3 of course is worth 50%: what would the student need to get to contribute to the total of 40% pass mark of the entire course?

Answer 1

40 = 0(.25) + x(.25) + y(.50)

Here you have two unknowns, score on test 2 and score on test 3. But, you have only one equation. Therefore, it can not be solved. For example, if 100% earned on test two, then, 100 x .25 = 25 points out of the 40 desired. Therefore, student must earn another 15 points to reach 40. 15 = (.50)30.

But, if student earns 80% on test two, then (80)(.25) = 20, so student must now earn 20 more points to equal 40. 20 = (.50)(40).