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Rent Split worksheet

Grades 6–7 · CCSS 6.RP.A.3, 7.RP.A.3

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

  1. Problem 1.
    • Total monthly rent: $2,500
    • Split the rent: By room size
    • Bedroom sizes (sq ft or m²): 200, 120, 88
    • Whole home size (same unit): 875

    Find: Rent per person

  2. Problem 2.
    • Total monthly rent: $2,800
    • Split the rent: Equally
    • Number of roommates: 3

    Find: Rent per person

  3. Problem 3.
    • Total monthly rent: $2,750
    • Split the rent: Equally
    • Number of roommates: 3

    Find: Rent per person

  4. Problem 4.
    • Total monthly rent: $2,000
    • Split the rent: By room size
    • Bedroom sizes (sq ft or m²): 150, 160, 130
    • Whole home size (same unit): 1,200

    Find: Rent per person

  5. Problem 5.
    • Total monthly rent: $2,250
    • Split the rent: Equally
    • Number of roommates: 4

    Find: Rent per person

  6. Problem 6.
    • Total monthly rent: $2,900
    • Split the rent: By income
    • Incomes ($): 45000, 40000, 28000

    Find: Rent per person

  7. Problem 7.
    • Total monthly rent: $2,000
    • Split the rent: By income
    • Incomes ($): 36000, 45000, 30000

    Find: Rent per person

  8. Problem 8.
    • Total monthly rent: $2,700
    • Split the rent: By income
    • Incomes ($): 75000, 40000, 26000

    Find: Rent per person

  9. Problem 9.
    • Total monthly rent: $2,600
    • Split the rent: By room size
    • Bedroom sizes (sq ft or m²): 180, 140, 110
    • Whole home size (same unit): 1,150

    Find: Rent per person

  10. Problem 10.
    • Total monthly rent: $1,800
    • Split the rent: By room size
    • Bedroom sizes (sq ft or m²): 180, 140, 110
    • Whole home size (same unit): 620

    Find: Rent per person

Answer key: Rent Split worksheet

  1. 1. Rent per person: Person 1 $1,016.19; Person 2 $787.62; Person 3 $696.19

    1. Find the shared space: take the bedrooms away from the whole home

      875−200+120+88=467
    2. Give each person their own room plus an equal slice of the shared space

      room + 4673=room + 155.6667
    3. Find the price of each square foot (or square meter) by dividing the rent by the whole home

      $2,500.00875=2.8571
    4. Person 1 pays for their area at that price (before rounding to the cent)

      355.6667×2.857143=$1,016.19
    5. Rent for each person, rounded to the cent so the amounts add up to the rent

      Person 1 $1,016.19; Person 2 $787.62; Person 3 $696.19
  2. 2. Rent per person: Person 1 $933.34; Person 2 $933.33; Person 3 $933.33

    1. Equal split: the rent divided by 3 people (to the cent)

      $2,800.003=$933.33
    2. Rent for each person, rounded to the cent so the amounts add up to the rent

      Person 1 $933.34; Person 2 $933.33; Person 3 $933.33
  3. 3. Rent per person: Person 1 $916.67; Person 2 $916.67; Person 3 $916.66

    1. Equal split: the rent divided by 3 people (to the cent)

      $2,750.003=$916.67
    2. Rent for each person, rounded to the cent so the amounts add up to the rent

      Person 1 $916.67; Person 2 $916.67; Person 3 $916.66
  4. 4. Rent per person: Person 1 $672.22; Person 2 $688.89; Person 3 $638.89

    1. Find the shared space: take the bedrooms away from the whole home

      1,200−150+160+130=760
    2. Give each person their own room plus an equal slice of the shared space

      room + 7603=room + 253.3333
    3. Find the price of each square foot (or square meter) by dividing the rent by the whole home

      $2,000.001,200=1.6667
    4. Person 1 pays for their area at that price (before rounding to the cent)

      403.3333×1.666667=$672.22
    5. Rent for each person, rounded to the cent so the amounts add up to the rent

      Person 1 $672.22; Person 2 $688.89; Person 3 $638.89
  5. 5. Rent per person: Person 1 $562.50; Person 2 $562.50; Person 3 $562.50; Person 4 $562.50

    1. Equal split: the rent divided by 4 people (to the cent)

      $2,250.004=$562.50
    2. Rent for each person, rounded to the cent so the amounts add up to the rent

      Person 1 $562.50; Person 2 $562.50; Person 3 $562.50; Person 4 $562.50
  6. 6. Rent per person: Person 1 $1,154.87; Person 2 $1,026.55; Person 3 $718.58

    1. Add up everyone's income

      $45,000.00+$40,000.00+$28,000.00=$113,000.00
    2. Find Person 1's share of the rent: their part of the combined income

      $45,000.00$113,000.00=39.823%
    3. Rent for each person, rounded to the cent so the amounts add up to the rent

      Person 1 $1,154.87; Person 2 $1,026.55; Person 3 $718.58
  7. 7. Rent per person: Person 1 $648.65; Person 2 $810.81; Person 3 $540.54

    1. Add up everyone's income

      $36,000.00+$45,000.00+$30,000.00=$111,000.00
    2. Find Person 1's share of the rent: their part of the combined income

      $36,000.00$111,000.00=32.4324%
    3. Rent for each person, rounded to the cent so the amounts add up to the rent

      Person 1 $648.65; Person 2 $810.81; Person 3 $540.54
  8. 8. Rent per person: Person 1 $1,436.17; Person 2 $765.96; Person 3 $497.87

    1. Add up everyone's income

      $75,000.00+$40,000.00+$26,000.00=$141,000.00
    2. Find Person 1's share of the rent: their part of the combined income

      $75,000.00$141,000.00=53.1915%
    3. Rent for each person, rounded to the cent so the amounts add up to the rent

      Person 1 $1,436.17; Person 2 $765.96; Person 3 $497.87
  9. 9. Rent per person: Person 1 $949.57; Person 2 $859.13; Person 3 $791.30

    1. Find the shared space: take the bedrooms away from the whole home

      1,150−180+140+110=720
    2. Give each person their own room plus an equal slice of the shared space

      room + 7203=room + 240
    3. Find the price of each square foot (or square meter) by dividing the rent by the whole home

      $2,600.001,150=2.2609
    4. Person 1 pays for their area at that price (before rounding to the cent)

      420×2.26087=$949.57
    5. Rent for each person, rounded to the cent so the amounts add up to the rent

      Person 1 $949.57; Person 2 $859.13; Person 3 $791.30
  10. 10. Rent per person: Person 1 $706.45; Person 2 $590.32; Person 3 $503.23

    1. Find the shared space: take the bedrooms away from the whole home

      620−180+140+110=190
    2. Give each person their own room plus an equal slice of the shared space

      room + 1903=room + 63.3333
    3. Find the price of each square foot (or square meter) by dividing the rent by the whole home

      $1,800.00620=2.9032
    4. Person 1 pays for their area at that price (before rounding to the cent)

      243.3333×2.903226=$706.45
    5. Rent for each person, rounded to the cent so the amounts add up to the rent

      Person 1 $706.45; Person 2 $590.32; Person 3 $503.23