Question

Please hurry no need to explain just the answer doesn't even need full sentence

Answer 1

10 essay questions

Step-by-step explanation

Step 1

Set the equations

Let x represents the number of multiple choices correct answers

Let y represents the number of essay correct answers

so

a) the total questions is 28

the total points is 134

points for correct multiple choice answer:3

points for correct essay answer:8

so

`\begin{gathered} x+y=28\Rightarrow equation(1) \\ 3x+8y=134\Rightarrow equation(2) \end{gathered}`

Step 2

solve the equations

`\begin{gathered} x+y=28\Rightarrow equation(1) \\ 3x+8y=134\Rightarrow equation(2) \end{gathered}`

a) isolate x in equation (1) and then, replace the result in equation(2)

`\begin{gathered} x+y=28\Rightarrow equation(1) \\ \text{subtract y in both sides} \\ x+y-y=28-y \\ x=28-y \end{gathered}`

replace in equation (2)

`\begin{gathered} 3x+8y=134\Rightarrow equation(2) \\ 3(28-y)+8y=134 \\ \text{break the parenthesis} \\ 84-3y+8y=134 \\ \text{add like terms} \\ 84+5y=134 \\ \text{subtract 84 in both sides} \\ 84+5y-84=134-84 \\ 5y=50 \\ \text{divide both sides by 5} \\ (5y)/(5)=(50)/(5) \\ y=10 \end{gathered}`

hence, the number of eassy question is 10

b) now, replace in equation(1) to find y

`\begin{gathered} x+y=28\Rightarrow equation(1) \\ \text{replace} \\ x+10=28 \\ \text{subtract 10 in both sides} \\ x+10-10=28-10 \\ x=18 \end{gathered}`

so, the number of multiple question is 18

therefore,

the answer is

10 essay questions