Question

Applications of systems of equations
A standardized test has 125 questions worth a total of 1300. The test has two types of questions: True/False and multiple choice. Each True/False question is worth 8 points, and each multiple choice question is worth 14 points. How many of each type of question is on the test

Answer 1

If m= mc questions and t= t/f questions$t=125-m, 8(125-m)+14m=1300, 1000-8m+14m=1300$ ,
$\left \{ {{t+m=125} \atop {8t+14m=1300}} \right.$ ,
6m=300 ,
m=50 , t=75