Solve the Equation: If 35% Equals 7, What is the Whole?

Video Solution

Solution Steps

00:00 Determine the whole number

00:05 Apply the formula to convert percentages to fractions

00:16 This fraction is equal to 35%

00:22 Multiply this fraction by the whole number in order to obtain 7 according to the given data

00:30 Multiply by the reciprocal fraction in order to isolate the whole number

00:53 Reduce wherever possible

01:09 Factor out and reduce wherever possible

01:16 This is the solution

Step-by-Step Solution

To solve this problem, we'll calculate the whole number using the provided percentage and part of that percentage.

Step 1: The given part is 7, which corresponds to 35% of the whole.
Step 2: Use the formula: $\text{whole} = \frac{\text{part} \times 100}{\text{percentage}}$
Step 3: Substitute the known values: $\text{whole} = \frac{7 \times 100}{35}$
Step 4: Calculate $7 \times 100 = 700$ .
Step 5: Divide by 35: $\text{whole} = \frac{700}{35}$
Step 6: Simplify the division: $\text{whole} = 20$

Therefore, the whole number when 35% is equal to 7 is 20.