Diego’s history teacher writes a test for the class with 26 questions. the test is worth 123 points and has two types of questions: multiple choice worth 3 points each, and essays worth 8 points each. how many essay questions are on the test?

Number of essay questions are 9.

Step-by-step explanation:

Let the number of multiple choice questions = x and the number of essay questions = y.

As, the total number of question are 26. We get,

Also, the multiple choice and the essay questions worth 3 and 8 points each.

Since, the total number of points of the test are 123.

So, we have,

So, the system of equations is,

x+y=26       ...........................(1)

3x+8y=123  ............................(2)

Multiply (1) by 3 and subtracting by (2), we get,

5y = 45 i.e. y = 9

So, x+y=26 implies x = 26 - y i.e. x = 26 - 9 i.e x = 17

Thus, the number of multiple choice questions and essay questions are 17 and 9 respectively.

answer: the equation matches the regression

step-by-step explanation:

4

step-by-step explanation:

6 (donuts) divided by 3 is 2.

so 2/3 means 2 times 2, which is 4/6.

you get two and your friend gets four.