In a mathematics class, 72 students received an A on the third test, which is 150% of the students who received an A on the second test. How many students received an A on the second test?
1.5x = 72
x = 48 students received an A on the second test
Let's solve this step-by-step.
Step 1: Let's assume the number of students who received an A on the second test is "x".
Step 2: According to the problem, 72 students received an A on the third test, which is 150% of the students who received an A on the second test.
Step 3: We can express this as 150% of "x" = 72.
Step 4: To convert 150% to a decimal, we divide it by 100. So, 150% becomes 1.5.
Step 5: Now we can write the equation as 1.5 * x = 72.
Step 6: To solve for "x", we divide both sides of the equation by 1.5.
x = 72 / 1.5.
Step 7: Evaluating this expression, we find that x = 48.
Therefore, 48 students received an A on the second test.
To find the number of students who received an A on the second test, we need to calculate 100% of that number.
First, let's set up an equation to represent the given information:
72 = 150% * x
To solve this equation, you can follow these steps:
Step 1: Divide both sides of the equation by 150% (which is the same as dividing by 1.5). This will isolate the variable x.
72 ÷ 1.5 = x
Step 2: Calculate the result of the division.
x ≈ 48
Therefore, approximately 48 students received an A on the second test.