Solve for Original Value: Finding Whole Number When 40% Equals 2

Question

Determine the whole number when 40% of its total is equal to 2:

Video Solution

Solution Steps

00:00 Determine the whole number
00:05 A fraction with a denominator equal to 100, equals the percentage (X)
00:11 Apply this formula to our exercise
00:21 Factor 40 into factors of 4 and 10, and 100 into factors 10 and 10
00:26 Reduce wherever possible
00:29 Factor 4 into factors of 2 and 2, and 10 into 2 and 5
00:34 Reduce wherever possible
00:39 This is the reduced fraction
00:46 Construct an appropriate equation, express the whole using unknown Y
00:56 Isolate Y
01:11 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the given percentage to a decimal by dividing by 100.

  • Step 2: Use the formula to find the whole number based on the part and the percentage in decimal form.

  • Step 3: Verify that the calculated whole corresponds to the multiple choice answers provided.

Now, let's work through each step:
Step 1: Convert 40% to decimal form. This gives us 0.40 0.40 .
Step 2: Use the formula for the whole:
Whole=PartPercentage in decimal=20.40 \text{Whole} = \frac{\text{Part}}{\text{Percentage in decimal}} = \frac{2}{0.40} Calculate this division: 20.40=5 \frac{2}{0.40} = 5
Step 3: Verify: The whole number calculated is 5, a valid option in the multiple-choice answers.
Therefore, the solution to the problem is 5 5 .

Answer

5