Algebra Question

Question

The table shows the number of correct answers on a practice standardized test. You score 86 points on the test and your friend scores 76 points. you scored 23 points on the multiple choice and 10 points on the short response. Your friend scored 28 points on the multiple choice and 5 points on the short response. a. write a system of linear equations that represents this situation. b. how many points is each type of question worth?

Answer 1

Let M = Multiple Choice Question

Let S = Short Answer

23M + 10S = 86

28M + 5S = 76

23M + 10S = 86

-2 * (28M + 5S = 76)

23M + 10S = 86

-56M -10S = -152

-33M = -66

M = 2

28*2 + 5S = 76

5S = 20

S = 4

M = 2 Pts, S = 4 Pts