Question

the next algebra test is worth 100 points and contains 35 problems. multiple-choice questions are worth 2 points each and word problems are 7 points each. how many of each type of equation are there? Please leave steps.

Answer 1

There are 6 word problems, which are 42 marks and 29 multiple choice questions for 58.

Answer 2

29 multiple choice questions, 6 word problems

Explanation:

2x + 7y = 100

x + y = 35

y = 35 - x

2x + 7 (35 - x) = 100

2x - 7x + 245 = 100

-5x = -145

x = 29

29 + y = 35

y = 6