Respuesta :
The total number of questions that Joshua correctly answers are 25 and this can be determined by forming the linear equation.
Given :
- Joshua took a math contest with 25 questions.
- Each correct answer earned 6 points while each incorrect answer deducted 4 points.
- Joshua answered every question and earned 100 points.
Let the total number of 6 points questions be 'x' and the total number of 4 points questions be 'y'.
The total number of questions are:
x + y = 25
x = 25 - y ---- (1)
The linear equation that represents the situation "Joshua answered every question and earned 100 points" is:
6x + 4 y = 100 --- (2)
Now, put the value of 'x' in equation (2).
6(25 - y) + 4y = 100
150 - 6y + 4y = 100
50 = 2y
y = 25
Now, put the value of 'y' in equation (1).
x = 25 - 25
x = 0
The total number of questions that Joshua correctly answers are 25.
For more information, refer to the link given below:
https://brainly.com/question/2263981
