Question

A math test is worth 100 points. There are a total of 26 questions. There are equation questions that are worth 2 points each and vocabulary questions are 5 points each. Which of the following system of equations best represents the scenario? x + y = 26 2x + 5y = 100 2x + 3y = 26 2x + 5y = 100 y = 26 2x + 5y = 100 x + y = 26 5y = 100

Answer 1

Let
x: equation questions
y: vocabulary questions
We write the system of equations that suits the proposed scenario:
x + y = 26
2x + 5y = 100
Answer:
the system of equations that best represents the scenario is
x + y = 26
2x + 5y = 100

Answer 2

Let

X= number of equation questions

Y= number of vocabulary questions

26= total of questions

Therefore

X+Y=26

equation questions ---------------------- > that are worth 2 points each

vocabulary questions -------------------- >that are worth 5 points each

A math test --------------------------------- > is worth 100 points

Therefore

2X+5Y=100

The answer is

x + y = 26

2x + 5y = 100