On a test, 55% of the questions are answered correctly. If 44 questions are correct, how many questions are on the test?
To find the total number of questions on the test, we can set up a proportion equation. Let "x" represent the total number of questions on the test.
Since 55% of the questions are answered correctly, the number of correctly answered questions can be expressed as:
55% = 44/x
To solve for "x," we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by "x":
x * (55%) = 44
Converting the percentage to a decimal:
0.55x = 44
Now, let's solve for "x" by dividing both sides of the equation by 0.55:
x = 44 / 0.55
Calculating this expression:
x ≈ 80
Therefore, there are approximately 80 questions on the test.
To find the total number of questions on the test, we can set up a proportion using the given information.
Let's assume the total number of questions on the test is x.
According to the given information, 55% of the questions are answered correctly, which is equivalent to 0.55 as a decimal.
So, if 44 questions are answered correctly, we can set up the following proportion:
44 / x = 0.55 / 1
To solve for x, we can cross-multiply:
44 * 1 = 0.55 * x
44 = 0.55x
To isolate x, divide both sides of the equation by 0.55:
44 / 0.55 = x
Simplifying, we find:
x ≈ 80
Therefore, there are approximately 80 questions on the test.
55/100 = 44/x
55x = 4400
x = 4400/55
x = 80