Question

Mr. Martin's math test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or2 points Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.

Answer 1

14=5 and 15=2

Explanation:

Answer 2

x + y = 29 ... eqn 1

5x + 2y = 100 ...eqn 2

multply eqn 1 by 2...

2x + 2y = 58 ...eqn 3

eqn 2 - eqn 3...

3x = 42

x = 14

subst x =14 into eqn 1...

14 + y = 29

y = 15

14 questions worth 5 marks each and 15 questions worth 2 marks each