A 100 point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and the short response answer questions are worth 8 pints each.

Write a system of linear equations that represents this situation, my answer is to correlate the 3 points with the 20 questions and the 11 points with the 100

The answer is 12 multiple choice questions and 8 short answer questions

X= short answer
Y= multiple choice
8x+3y=100
X+y=20
Use elimination process and you’ll get (8,12) :D

8 short responses,12 multiple choice. Melanie is wrong because 5+6 doesn't add up to 20 questions.

m multiple pointers

s short responders

m + s = 20

3 m + 8 s = 100

bro, I keep getting 24 for y, how is everyone getting (8,12) at the end 😭😭😭

the system thing would be x+y=15 ; 3x+8y=100

To create a system of linear equations, we need to decide on variables to represent the different quantities in the situation. Let's use "x" to represent the number of multiple choice questions answered correctly and "y" to represent the number of short response questions answered correctly.

The total number of questions answered correctly is the sum of the multiple choice questions and short response questions. Since there are 20 questions in total, the equation is:
x + y = 20

The total score obtained is the sum of the points earned for the multiple choice questions and short response questions. Since multiple choice questions are worth 3 points each and short response questions are worth 8 points each, the equation is:
3x + 8y = 100

So, the system of linear equations representing this situation is:
x + y = 20
3x + 8y = 100

If the teacher changed the test to 15 questions, then how many of each type of question would be on the test?

What’s the answer then?

Yay Melanie is wrong I’m stupid and even I know the answer

5 multiple choice and 6 short responses