Worksheet 1Worksheet 2Worksheet 3

The download includes this worksheet followed by the answer key with explanations. In the print dialog choose “Save as PDF” to download.

lessonbunny.com
Name: ______________________________ Date: ______________

Percent of Quantity

Grade 6 · Ratios · Worksheet 2

  1. Emma is shopping for a winter coat that originally costs $120. The store is having a 30% off sale on all outerwear. After applying the discount, Emma uses a coupon that gives her an additional 15% off the sale price. How much will Emma pay for the coat after both discounts are applied? Answer: ______________
  2. 62.5% of 840 = ? Answer: ______________
  3. 25% of 960 = ? Answer: ______________
  4. A technology company surveyed 1,200 employees about their preferred remote work setup. 45% of employees preferred a hybrid model, 30% preferred fully remote work, and the rest preferred full-time office work. How many employees preferred full-time office work? Answer: ______________
  5. What is 35% of 280? Answer: ______________
  6. A technology company is analyzing its workforce diversity. They have 1,200 employees total, with 45% working in engineering roles. Among the engineering staff, 60% are software engineers and the rest are hardware engineers. What percentage of the company's total workforce are hardware engineers? Answer: ______________
  7. A school is planning a field trip for 320 students. The transportation company says they can only take 85% of the students on their buses due to capacity limits. How many students will need to find alternative transportation? Answer: ______________
  8. A school is planning a field trip for 320 students. The transportation company says they can only take 85% of the students on their buses due to capacity limits. How many students will be able to ride the buses to the field trip? Answer: ______________
lessonbunny.com

Answer Key & Explanations

Percent of Quantity · Grade 6 · Worksheet 2

  1. Emma is shopping for a winter coat that originally costs $120. The store is having a 30% off sale on all outerwear. After applying the discount, Emma uses a coupon that gives her an additional 15% off the sale price. How much will Emma pay for the coat after both discounts are applied? Answer: 71.40 Solution: Calculate the first discount amount. 30% of $120 = 0.30 × 120 = $36 Calculate the price after the first discount. $120 - $36 = $84 Calculate the second discount amount.
    Full step-by-step solution

    Step 1: Calculate the first discount amount. 30% of $120 = 0.30 × 120 = $36 Step 2: Calculate the price after the first discount. $120 - $36 = $84 Step 3: Calculate the second discount amount. 15% of $84 = 0.15 × 84 = $12.60 Step 4: Calculate the final price after both discounts. $84 - $12.60 = $71.40 The answer is $71.40.

  2. 62.5% of 840 = ? Answer: 525 Solution: Convert the percentage to a decimal by dividing by 100: 62.5 ÷ 100 = 0.625 Multiply the decimal by the total quantity: 0.625 × 840 Calculate the multiplication: 0.625 × 840 = 525 The answer is 525.
    Full step-by-step solution

    Step 1: Convert the percentage to a decimal by dividing by 100: 62.5 ÷ 100 = 0.625 Step 2: Multiply the decimal by the total quantity: 0.625 × 840 Step 3: Calculate the multiplication: 0.625 × 840 = 525 The answer is 525.

  3. 25% of 960 = ? Answer: 240 Solution: Convert 25% to a fraction: 25% = 25/100 = 1/4 Multiply the fraction by the quantity: (1/4) × 960 Calculate the multiplication: 960 ÷ 4 = 240 The result is 240 Therefore, 25% of 960 is 240.
    Full step-by-step solution

    Step 1: Convert 25% to a fraction: 25% = 25/100 = 1/4 Step 2: Multiply the fraction by the quantity: (1/4) × 960 Step 3: Calculate the multiplication: 960 ÷ 4 = 240 Step 4: The result is 240 Therefore, 25% of 960 is 240.

  4. A technology company surveyed 1,200 employees about their preferred remote work setup. 45% of employees preferred a hybrid model, 30% preferred fully remote work, and the rest preferred full-time office work. How many employees preferred full-time office work? Answer: 300 Solution: Find the total percentage of employees who preferred hybrid or remote work 45% + 30% = 75% Find the percentage who preferred full-time office work 100% - 75% = 25% 25% of 1,200 = 0.25 × 1,200 = 300 The answer is 300 employees.
    Full step-by-step solution

    Step 1: Find the total percentage of employees who preferred hybrid or remote work 45% + 30% = 75% Step 2: Find the percentage who preferred full-time office work 100% - 75% = 25% Step 3: Calculate how many employees this represents 25% of 1,200 = 0.25 × 1,200 = 300 The answer is 300 employees.

  5. What is 35% of 280? Answer: 98 Solution: To find 35% of 280, follow these steps: Understand that "percent" means "per hundred." So, 35% is the same as the fraction 35/100. The word "of" in math problems often means multiplication. Write the expression.
    Full step-by-step solution

    To find 35% of 280, follow these steps: Step 1: Understand that "percent" means "per hundred." So, 35% is the same as the fraction 35/100. Step 2: The word "of" in math problems often means multiplication. Therefore, "35% of 280" means we need to calculate (35/100) multiplied by 280. Step 3: Write the expression. 35% of 280 = (35/100) * 280 Step 4: Simplify the calculation. First, you can simplify the fraction 35/100 by dividing the numerator and denominator by 5. 35 divided by 5 is 7. 100 divided by 5 is 20. So, 35/100 simplifies to 7/20. Now the expression is: (7/20) * 280 Step 5: Perform the multiplication. Multiplying a fraction by a whole number is the same as multiplying the numerator by the whole number and then dividing by the denominator. So, (7 * 280) / 20 Step 6: Calculate 7 * 280. 7 * 200 = 1400 7 * 80 = 560 Add them together: 1400 + 560 = 1960 So, (7 * 280) = 1960 Step 7: Now divide by the denominator, 20. 1960 / 20 = 98 Therefore, 35% of 280 is 98.

  6. A technology company is analyzing its workforce diversity. They have 1,200 employees total, with 45% working in engineering roles. Among the engineering staff, 60% are software engineers and the rest are hardware engineers. What percentage of the company's total workforce are hardware engineers? Answer: 18% Solution: Find the number of engineering employees: 45% of 1,200 = 0.45 × 1,200 = 540 employees Find what percentage of engineers are hardware engineers: 100% - 60% = 40% Find the number of hardware engineers: 40% of 540 = 0.40 × 540 = 216 employees Find what percentage of total workforce are hardware…
    Full step-by-step solution

    Step 1: Find the number of engineering employees: 45% of 1,200 = 0.45 × 1,200 = 540 employees Step 2: Find what percentage of engineers are hardware engineers: 100% - 60% = 40% Step 3: Find the number of hardware engineers: 40% of 540 = 0.40 × 540 = 216 employees Step 4: Find what percentage of total workforce are hardware engineers: (216 ÷ 1,200) × 100 = 0.18 × 100 = 18% The answer is 18%.

  7. A school is planning a field trip for 320 students. The transportation company says they can only take 85% of the students on their buses due to capacity limits. How many students will need to find alternative transportation? Answer: 48 Solution: Calculate how many students can be transported on the buses 85% of 320 students = 0.85 × 320 = 272 students Subtract the number of students who can be transported from the total Total students = 320 Students who can be transported = 272 Students needing alternative transportation = 320 - 272 =…
    Full step-by-step solution

    Step 1: Calculate how many students can be transported on the buses 85% of 320 students = 0.85 × 320 = 272 students Step 2: Subtract the number of students who can be transported from the total Total students = 320 Students who can be transported = 272 Students needing alternative transportation = 320 - 272 = 48 The answer is 48 students.

  8. A school is planning a field trip for 320 students. The transportation company says they can only take 85% of the students on their buses due to capacity limits. How many students will be able to ride the buses to the field trip? Answer: 272 Solution: Identify the total number of students: 320 Identify the percentage that can ride: 85% Convert 85% to a decimal by dividing by 100: 85 ÷ 100 = 0.85 Multiply the total students by the decimal percentage: 320 × 0.85 Calculate: 320 × 0.85 = 272 Therefore, 272 students will be able to ride the buses.
    Full step-by-step solution

    Step 1: Identify the total number of students: 320 Step 2: Identify the percentage that can ride: 85% Step 3: Convert 85% to a decimal by dividing by 100: 85 ÷ 100 = 0.85 Step 4: Multiply the total students by the decimal percentage: 320 × 0.85 Step 5: Calculate: 320 × 0.85 = 272 Step 6: Therefore, 272 students will be able to ride the buses.