Answered

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Ada’s history teacher wrote a test for the class.
a
The test is 26 questions long and is worth 123 points.
Ada wrote two equations, where m represents the
number of multiple choice questions on the test, and
s represents the number of essay questions on the test.
–
m+s= 26
3m + 8s = 123
How many essay questions are on the test?

Sagot :

anapaulagalassi

Answer:

9 essay questions.

Step-by-step explanation:

We have been given that ada’s history teacher writes a test for the class with 26 questions. We can represent this information in an equation as:

x+y=26

We are also told that multiple choice worth 3 points each, so total number of points for x questions will be 3x.

As essays worth 8 points each, so total number of points for y questions will be 8y.

Since the test is worth 123 points, so we can represent this information in an equation as:

3x + 8y= 123

Now we will use substitution method to solve system of linear equations.

From equation (1) we will get,

x=26-y

Substituting this value in equation (2) we will get,

3×(26-y)+8y=123

78-3y+8y=123

78+5y=123

Let us subtract 78 from both sides of our equation.

78-78+5y=123-78

5y=45

Let us divide both sides of our equation by 5.

5y/5=45/5

y=9

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