Presentation on theme: "Base: The number that represents the whole or 100%."— Presentation transcript:
1 Base: The number that represents the whole or 100%. Amount: The number that represents part of a whole.Percent: The number that defines what part the amount is of the whole.B = BaseA = AmountP = percentPercent Equation: Percent Base = Amount or P B = AProcedure: Solving Percent Problems using a Percent Equation:1. Percents must be converted to a decimal or a fraction.2. “what percent”: percent is unknown“of what number”: base is unknown“is what number”: amount is unknown3. Substitute the values given into the percent equation. One of the valueswill not be given; either P, B, or A.4. Solve the equation. If finding a percent, convert the decimal to a percent.Example % of what number is 60.Solution:1. List the given information.P=0.75B=?A = 60Equation:P B = A2. Substitute the information into the equation and solve.0.75 B = 60Your Turn Problem #120% of what number is 18?Answer: 90B = 8075% of 80 is 60.
2 Example 2. 105 is what percent of 140? 1. List the given information.Solution:P=?B=140A = 105Equation:P B = A2. Substitute the information into the equation and solve.P 140 = 105P = 0.75Division not shownYour Turn Problem #281 is what percent of 540?P = 75%105 is 75% of 140.Answer: 15%Example % of 28 is what number?Solution:P=0.14B=28A =?Equation:P B = A1. List the given information.0.14 28 = A2. Substitute the information into the equation and solve.14% of 28 is 3.92.A = 3.92Multiplication not shownYour Turn Problem #35% of is what number?Answer: 9.01
3 Solution: P = 2/9 B=? A =46 Equation: P B = A B = 207 1. P must be written as a decimal or a fraction.2. List the given information.P = 2/9B=?A =46Equation:P B = A3. Substitute the information into the equation and solve. To solve an equation with a fraction in front of the variable, multiply both sides by its reciprocal on both sides.B = 20722 2/9% of 207 is 46.Your Turn Problem #4Answer: 174
4 Solving Percent Problems using Proportions This is another method for solving percent problems.1. The percent will not need to be converted to a decimal or a fraction (because of the 100 in the formula).2. Substitute the values given in into the formula and solve the equation.Example % of what number is 6975?Solution:P = 31B= ?A = 69751. List the given information.2. Substitute the information into the formula and solve.Your Turn Problem #5548 is what percent of 2740?Answer: 20%The EndB.R.6-6-0831B =B = 22,500