Question

Your math teacher tells you that the next test is worth 100 points and contains 38 problems muitiple choices are worth 2 points each and word problems are worth 5 points how many of each type of questions are there

Answer 1

multiple choice have 30 questions

word problems have 8 questions

Explanation:

x=multiple choice. y=word problems

2x+5y=100 ---eq1

x+y=38 ---eq2

y=38-x ---eq3

substitutet eq3 into eq1

2x+5(38-x)=100

2x+(-5x)+190=100

2x-5x=100-190

-3x=-90

x=-90/-3

x=30

substitute x to eq3

y=38-(30)

y=8

multiple choice have 30 questions

word problems have 8 questions