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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

Respuesta :

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

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