Challenge Solve: 1. What is 5% of 30? 2. 10 is 20% of what number? 3. What percent of 52 is 100? 4. What is 35% of 300% 3. PGO is what percent of PROQ? 6. How much is 30% of 300?
Answer (1)
Answer:Here are the solutions to the challenge problems: 1. What is 5% of 30? Step 1: Convert the percentage to a decimal.Divide 5 by 100: 5/100 = 0.05 Step 2: Multiply the decimal by the number.Multiply 0.05 by 30: 0.05 * 30 = 1.5 Answer: 5% of 30 is 1.5. 2. 10 is 20% of what number? Step 1: Convert the percentage to a decimal.Divide 20 by 100: 20/100 = 0.2 Step 2: Set up an equation.Let "x" represent the unknown number. We have the equation: 0.2 * x = 10 Step 3: Solve for "x".Divide both sides of the equation by 0.2: x = 10 / 0.2 = 50 Answer: 10 is 20% of 50. 3. What percent of 52 is 100? Step 1: Set up a proportion.Let "x" represent the unknown percentage. The proportion is: x/100 = 100/52 Step 2: Solve for "x".Cross-multiply: 52x = 10000Divide both sides by 52: x = 10000/52 ≈ 192.31 Answer: 100 is approximately 192.31% of 52. 4. What is 35% of 300%? Step 1: Convert percentages to decimals.35% = 35/100 = 0.35300% = 300/100 = 3 Step 2: Multiply the decimals.0.35 * 3 = 1.05 Answer: 35% of 300% is 1.05. 5. PGO is what percent of PROQ? Step 1: Assume the length of each letter is 1 unit. Step 2: Calculate the length of PGO.PGO = 1 + 1 + 1 = 3 units Step 3: Calculate the length of PROQ.PROQ = 1 + 1 + 1 + 1 = 4 units Step 4: Set up a proportion.Let "x" represent the unknown percentage. The proportion is: x/100 = 3/4 Step 5: Solve for "x".Cross-multiply: 4x = 300Divide both sides by 4: x = 300/4 = 75 Answer: PGO is 75% of PROQ. 6. How much is 30% of 300? Step 1: Convert the percentage to a decimal.30% = 30/100 = 0.3 Step 2: Multiply the decimal by the number.0.3 * 300 = 90 Answer: 30% of 300 is 90. Let me know if you have any more questions!...
