SOLUTION: The formula A=(2 Tt+Qq)/(2T+Q) gives a student’s average A after T tests and Q quizzes, where each test counts as 2 quizzes and t is the test average and q is the quiz average. S

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The formula A=(2 Tt+Qq)/(2T+Q) gives a student’s average A after T tests and Q quizzes, where each test counts as 2 quizzes and t is the test average and q is the quiz average. S      Log On


   

Question 1199269: The formula A=(2 Tt+Qq)/(2T+Q) gives a student’s average A after T tests and Q quizzes, where each test counts as 2 quizzes and t is the test average and q is the quiz average. Solve for Q.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A=%282+Tt%2BQq%29%2F%282T%2BQ%29+
"Solve for Q."


Nothing tricky needed.
A%282T%2BQ%29=2Tt%2BQq
2AT%2BAQ=2Tt%2BQq
2AT%2BAQ=2Tt%2BqQ
AQ=2Tt-2AT%2BqQ
AQ-qQ=2Tt-2AT
%28A-q%29Q=2Tt-2AT
Q=%282Tt-2AT%29%2F%28A-q%29---------------or whatever is equivalent