A student missed 11 problems on a Chemistry test and received a grade of 65%. If all the problems were of equal value, how many problems were on the test? Round off your answer to the nearest integer.
X= # of problems
11= 3 of missed problems
65% of correct problems
35% of missed problms
8/0.35 so there were 3 problems is this correct
DISREGARD this one
To find the total number of problems on the test, we need to determine the number of problems that the student answered correctly. We know that the student missed 11 problems and received a grade of 65%.
Let's set up an equation to solve for the number of correct problems:
Correct Problems / Total Problems = 65% = 0.65
We can express the number of correct problems as:
Correct Problems = (Total Problems - Missed Problems)
Substituting this into the equation above, we have:
(Total Problems - Missed Problems) / Total Problems = 0.65
Simplifying the equation:
(1 - (Missed Problems / Total Problems)) = 0.65
Now, let's substitute the value for missed problems:
(1 - (11 / Total Problems)) = 0.65
To solve this equation, we can isolate the fraction:
11 / Total Problems = 1 - 0.65
11 / Total Problems = 0.35
Now, we need to find the value of Total Problems:
Total Problems = 11 / 0.35
Total Problems ≈ 31.43
To round off the answer to the nearest integer, we get:
Total Problems ≈ 31
Therefore, there were approximately 31 problems on the test.
To find the number of problems on the test, we can set up a proportion using the information given.
Let's assume there were X total problems on the test.
The student missed 11 problems, which is equal to 11/X of the total problems.
The student received a grade of 65%, which means they answered correctly 65% of the problems. This is equal to 0.65 of the total problems.
So, our proportion becomes:
11/X = 0.65
To solve for X, we can cross-multiply:
11 = 0.65X
Now, let's solve for X by dividing both sides of the equation by 0.65:
X = 11 / 0.65
Using a calculator, this gives us approximately 16.92.
Since we're asked to round off the answer to the nearest integer, the number of problems on the test would be 17.