Skip to content
Calcapedia
Print as
Number of problems

In the print window, choose “Save as PDF” as the printer (or print it on paper). Seed 1 rebuilds this exact sheet.

Showing 10 problems, seed 1.

BOGO worksheet

Grade 7 · CCSS 7.RP.A.3

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Regular price of one item: $26
    • Buy this many at full price: 3
    • Get this many at the deal price: 1
    • Discount on those extra items: 50% off
    • Compare with a straight percent off (optional): 50% off

    Find: Real percent off, spread over every item

  2. Problem 2.
    • Regular price of one item: $25
    • Buy this many at full price: 1
    • Get this many at the deal price: 1
    • Discount on those extra items: 100% off
    • Compare with a straight percent off (optional): 39% off

    Find: Real percent off, spread over every item

  3. Problem 3.
    • Regular price of one item: $26
    • Buy this many at full price: 1
    • Get this many at the deal price: 1
    • Discount on those extra items: 50% off
    • Compare with a straight percent off (optional): 40% off

    Find: Real percent off, spread over every item

  4. Problem 4.
    • Regular price of one item: $39
    • Buy this many at full price: 3
    • Get this many at the deal price: 1
    • Discount on those extra items: 100% off
    • Compare with a straight percent off (optional): 30% off

    Find: Real percent off, spread over every item

  5. Problem 5.
    • Regular price of one item: $25
    • Buy this many at full price: 2
    • Get this many at the deal price: 2
    • Discount on those extra items: 100% off
    • Compare with a straight percent off (optional): 50% off

    Find: Real percent off, spread over every item

  6. Problem 6.
    • Regular price of one item: $45
    • Buy this many at full price: 3
    • Get this many at the deal price: 2
    • Discount on those extra items: 25% off
    • Compare with a straight percent off (optional): 34% off

    Find: Real percent off, spread over every item

  7. Problem 7.
    • Regular price of one item: $40
    • Buy this many at full price: 1
    • Get this many at the deal price: 2
    • Discount on those extra items: 25% off
    • Compare with a straight percent off (optional): 36% off

    Find: Real percent off, spread over every item

  8. Problem 8.
    • Regular price of one item: $24
    • Buy this many at full price: 2
    • Get this many at the deal price: 2
    • Discount on those extra items: 100% off
    • Compare with a straight percent off (optional): 46% off

    Find: Real percent off, spread over every item

  9. Problem 9.
    • Regular price of one item: $30
    • Buy this many at full price: 2
    • Get this many at the deal price: 2
    • Discount on those extra items: 100% off
    • Compare with a straight percent off (optional): 24% off

    Find: Real percent off, spread over every item

  10. Problem 10.
    • Regular price of one item: $30
    • Buy this many at full price: 2
    • Get this many at the deal price: 1
    • Discount on those extra items: 25% off
    • Compare with a straight percent off (optional): 50% off

    Find: Real percent off, spread over every item

Answer key: BOGO worksheet

  1. 1. Real percent off, spread over every item: 12.5%

    1. Add the items you buy and the items you get, to see how many you take home

      3+1=4
    2. Work out what all of them would cost at the regular price

      $26.00×4=$104.00
    3. With the deal, you pay full price for the items you buy, and 50% less for each extra one

      $26.00×3+$13.00×1=$91.00
    4. Your savings are the regular total minus what you pay

      $104.00−$91.00=$13.00
    5. Divide the savings by the regular total to get the real percent off across all the items

      $13.00$104.00×100=12.5%
    6. Divide what you pay by the number of items to get the real price of each one

      $91.004=$22.75
    7. For the other offer, take 50% off the regular price of all 4 items

      $104.00×1−50100=$52.00
    8. Compare the two totals. A positive number means the multi-buy deal is cheaper

      $52.00−$91.00=−$39.00
  2. 2. Real percent off, spread over every item: 50%

    1. Add the items you buy and the items you get, to see how many you take home

      1+1=2
    2. Work out what all of them would cost at the regular price

      $25.00×2=$50.00
    3. With the deal, you pay full price for the items you buy, and the extra ones are free

      $25.00×1+$0.00×1=$25.00
    4. Your savings are the regular total minus what you pay

      $50.00−$25.00=$25.00
    5. Divide the savings by the regular total to get the real percent off across all the items

      $25.00$50.00×100=50%
    6. Divide what you pay by the number of items to get the real price of each one

      $25.002=$12.50
    7. For the other offer, take 39% off the regular price of all 2 items

      $50.00×1−39100=$30.50
    8. Compare the two totals. A positive number means the multi-buy deal is cheaper

      $30.50−$25.00=$5.50
  3. 3. Real percent off, spread over every item: 25%

    1. Add the items you buy and the items you get, to see how many you take home

      1+1=2
    2. Work out what all of them would cost at the regular price

      $26.00×2=$52.00
    3. With the deal, you pay full price for the items you buy, and 50% less for each extra one

      $26.00×1+$13.00×1=$39.00
    4. Your savings are the regular total minus what you pay

      $52.00−$39.00=$13.00
    5. Divide the savings by the regular total to get the real percent off across all the items

      $13.00$52.00×100=25%
    6. Divide what you pay by the number of items to get the real price of each one

      $39.002=$19.50
    7. For the other offer, take 40% off the regular price of all 2 items

      $52.00×1−40100=$31.20
    8. Compare the two totals. A positive number means the multi-buy deal is cheaper

      $31.20−$39.00=−$7.80
  4. 4. Real percent off, spread over every item: 25%

    1. Add the items you buy and the items you get, to see how many you take home

      3+1=4
    2. Work out what all of them would cost at the regular price

      $39.00×4=$156.00
    3. With the deal, you pay full price for the items you buy, and the extra ones are free

      $39.00×3+$0.00×1=$117.00
    4. Your savings are the regular total minus what you pay

      $156.00−$117.00=$39.00
    5. Divide the savings by the regular total to get the real percent off across all the items

      $39.00$156.00×100=25%
    6. Divide what you pay by the number of items to get the real price of each one

      $117.004=$29.25
    7. For the other offer, take 30% off the regular price of all 4 items

      $156.00×1−30100=$109.20
    8. Compare the two totals. A positive number means the multi-buy deal is cheaper

      $109.20−$117.00=−$7.80
  5. 5. Real percent off, spread over every item: 50%

    1. Add the items you buy and the items you get, to see how many you take home

      2+2=4
    2. Work out what all of them would cost at the regular price

      $25.00×4=$100.00
    3. With the deal, you pay full price for the items you buy, and the extra ones are free

      $25.00×2+$0.00×2=$50.00
    4. Your savings are the regular total minus what you pay

      $100.00−$50.00=$50.00
    5. Divide the savings by the regular total to get the real percent off across all the items

      $50.00$100.00×100=50%
    6. Divide what you pay by the number of items to get the real price of each one

      $50.004=$12.50
    7. For the other offer, take 50% off the regular price of all 4 items

      $100.00×1−50100=$50.00
    8. Compare the two totals. A positive number means the multi-buy deal is cheaper

      $50.00−$50.00=$0.00
  6. 6. Real percent off, spread over every item: 10%

    1. Add the items you buy and the items you get, to see how many you take home

      3+2=5
    2. Work out what all of them would cost at the regular price

      $45.00×5=$225.00
    3. With the deal, you pay full price for the items you buy, and 25% less for each extra one

      $45.00×3+$33.75×2=$202.50
    4. Your savings are the regular total minus what you pay

      $225.00−$202.50=$22.50
    5. Divide the savings by the regular total to get the real percent off across all the items

      $22.50$225.00×100=10%
    6. Divide what you pay by the number of items to get the real price of each one

      $202.505=$40.50
    7. For the other offer, take 34% off the regular price of all 5 items

      $225.00×1−34100=$148.50
    8. Compare the two totals. A positive number means the multi-buy deal is cheaper

      $148.50−$202.50=−$54.00
  7. 7. Real percent off, spread over every item: 16.67%

    1. Add the items you buy and the items you get, to see how many you take home

      1+2=3
    2. Work out what all of them would cost at the regular price

      $40.00×3=$120.00
    3. With the deal, you pay full price for the items you buy, and 25% less for each extra one

      $40.00×1+$30.00×2=$100.00
    4. Your savings are the regular total minus what you pay

      $120.00−$100.00=$20.00
    5. Divide the savings by the regular total to get the real percent off across all the items

      $20.00$120.00×100=16.6667%
    6. Divide what you pay by the number of items to get the real price of each one

      $100.003=$33.33
    7. For the other offer, take 36% off the regular price of all 3 items

      $120.00×1−36100=$76.80
    8. Compare the two totals. A positive number means the multi-buy deal is cheaper

      $76.80−$100.00=−$23.20
  8. 8. Real percent off, spread over every item: 50%

    1. Add the items you buy and the items you get, to see how many you take home

      2+2=4
    2. Work out what all of them would cost at the regular price

      $24.00×4=$96.00
    3. With the deal, you pay full price for the items you buy, and the extra ones are free

      $24.00×2+$0.00×2=$48.00
    4. Your savings are the regular total minus what you pay

      $96.00−$48.00=$48.00
    5. Divide the savings by the regular total to get the real percent off across all the items

      $48.00$96.00×100=50%
    6. Divide what you pay by the number of items to get the real price of each one

      $48.004=$12.00
    7. For the other offer, take 46% off the regular price of all 4 items

      $96.00×1−46100=$51.84
    8. Compare the two totals. A positive number means the multi-buy deal is cheaper

      $51.84−$48.00=$3.84
  9. 9. Real percent off, spread over every item: 50%

    1. Add the items you buy and the items you get, to see how many you take home

      2+2=4
    2. Work out what all of them would cost at the regular price

      $30.00×4=$120.00
    3. With the deal, you pay full price for the items you buy, and the extra ones are free

      $30.00×2+$0.00×2=$60.00
    4. Your savings are the regular total minus what you pay

      $120.00−$60.00=$60.00
    5. Divide the savings by the regular total to get the real percent off across all the items

      $60.00$120.00×100=50%
    6. Divide what you pay by the number of items to get the real price of each one

      $60.004=$15.00
    7. For the other offer, take 24% off the regular price of all 4 items

      $120.00×1−24100=$91.20
    8. Compare the two totals. A positive number means the multi-buy deal is cheaper

      $91.20−$60.00=$31.20
  10. 10. Real percent off, spread over every item: 8.33%

    1. Add the items you buy and the items you get, to see how many you take home

      2+1=3
    2. Work out what all of them would cost at the regular price

      $30.00×3=$90.00
    3. With the deal, you pay full price for the items you buy, and 25% less for each extra one

      $30.00×2+$22.50×1=$82.50
    4. Your savings are the regular total minus what you pay

      $90.00−$82.50=$7.50
    5. Divide the savings by the regular total to get the real percent off across all the items

      $7.50$90.00×100=8.3333%
    6. Divide what you pay by the number of items to get the real price of each one

      $82.503=$27.50
    7. For the other offer, take 50% off the regular price of all 3 items

      $90.00×1−50100=$45.00
    8. Compare the two totals. A positive number means the multi-buy deal is cheaper

      $45.00−$82.50=−$37.50