Olivia completed 85% of question. only 6 questions is left.
find total number of questions
with explanations
To find the total number of questions, we can use the given information that Olivia completed 85% of the questions and there are only 6 questions left.
We can start by finding the number of questions Olivia has completed. Since she completed 85% of the questions, we can say that the remaining 15% represents the 6 questions left.
Let's denote the total number of questions as "x". Therefore, 85% of x should be the number of questions Olivia completed. We can write this as:
0.85x = number of questions Olivia completed
Since there are only 6 questions left, we can write this as:
0.15x = 6
Now, we can solve for x:
x = 6 / 0.15
Dividing 6 by 0.15, we get:
x = 40
Therefore, the total number of questions is 40.
To find the total number of questions, we need to determine the number of questions that are represented by 85% and the remaining 6 questions.
We know that Olivia completed 85% of the questions, which means she finished (85/100) of the total questions. Let's assume the total number of questions is x.
Given that Olivia completed 85% of the questions, we can express this mathematically as:
(85/100) * x
Now, we also know that there are 6 questions left to complete. So we can add the remaining questions to the questions Olivia has completed, which gives us the total number of questions:
(85/100) * x + 6 = x
To solve this equation, let's simplify it:
85x/100 + 6 = x
We can get rid of the fraction by multiplying both sides of the equation by 100:
85x + 600 = 100x
Now, let's isolate the variable by moving the terms with x to one side of the equation:
100x - 85x = 600
15x = 600
Divide both sides of the equation by 15 to solve for x:
x = 600 / 15
x = 40
Therefore, the total number of questions is 40.
.15x = 6
Solve for x.