Solving Equations and Percentages

The video tutorial demonstrates how to solve an arithmetic reasoning problem commonly found in ASVAB and PCAT tests. The problem involves finding the number for which 12 is 25%. The instructor converts the problem into an equation, solves for the unknown variable, and simplifies the equation using fractions. The final solution is determined by multiplying both sides by the reciprocal of the fraction, resulting in the answer of 48.

What is the first step in solving the problem presented in the video?

• Convert the problem into an equation

• Convert the percentage to a fraction

• Identify the unknown variable

• Multiply both sides by the reciprocal

What does the phrase '12 is 25% of what number' translate to in mathematical terms?

• 12 = n / 0.25

• 12 = 25 * n

• 12 = n * 25

• 12 = 0.25 * n

How is the percentage 25% represented in decimal form?

• 25.0

• 2.5

• 0.025

• 0.25

What does the term 'of' indicate in the context of the problem?

• Addition

• Division

• Subtraction

• Multiplication

What variable is used to represent the unknown number in the equation?

• n

• z

• y

• x

What is the equation formed after converting the percentage to a decimal?

• 12 = n - 0.25

• 12 = n / 0.25

• 12 = 0.25 * n

• 12 = 0.25 + n

What is the fraction equivalent of the decimal 0.25?

• 1/2

• 1/3

• 1/4

• 1/5

What operation is used to eliminate the fraction in front of the variable?

• Addition

• Subtraction

• Division

• Multiplication

What is the reciprocal of 1/4?

• 2

• 1/2

• 1/4

• 4

What is the final value of the unknown number n?

• 36

• 60

• 24

• 48