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Stock Average worksheet

Grades 7–8 · CCSS 8.EE.C.7.b, 7.EE.B.3

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

  1. Problem 1.
    • What do you want to find?: Average cost of my purchases
    • Shares bought each time: 92, 56, 150
    • Price per share each time: 50, 32, 24

    Find: Average cost per share

  2. Problem 2.
    • What do you want to find?: Shares to buy to reach a target average
    • Shares you own now: 130
    • Your current average cost per share: $60
    • Price you can buy at now: $28
    • Target average cost per share: $55

    Find: Shares to buy

  3. Problem 3.
    • What do you want to find?: Shares to buy to reach a target average
    • Shares you own now: 170
    • Your current average cost per share: $65
    • Price you can buy at now: $34
    • Target average cost per share: $40

    Find: Shares to buy

  4. Problem 4.
    • What do you want to find?: Average cost of my purchases
    • Shares bought each time: 108, 58, 150
    • Price per share each time: 35, 30, 26

    Find: Average cost per share

  5. Problem 5.
    • What do you want to find?: Average cost of my purchases
    • Shares bought each time: 85, 60, 150
    • Price per share each time: 40, 25, 29

    Find: Average cost per share

  6. Problem 6.
    • What do you want to find?: Shares to buy to reach a target average
    • Shares you own now: 220
    • Your current average cost per share: $45
    • Price you can buy at now: $31
    • Target average cost per share: $38

    Find: Shares to buy

  7. Problem 7.
    • What do you want to find?: Average cost of my purchases
    • Shares bought each time: 100, 50, 150
    • Price per share each time: 39, 45, 25

    Find: Average cost per share

  8. Problem 8.
    • What do you want to find?: Shares to buy to reach a target average
    • Shares you own now: 180
    • Your current average cost per share: $44
    • Price you can buy at now: $28
    • Target average cost per share: $34

    Find: Shares to buy

  9. Problem 9.
    • What do you want to find?: Shares to buy to reach a target average
    • Shares you own now: 170
    • Your current average cost per share: $50
    • Price you can buy at now: $28
    • Target average cost per share: $30

    Find: Shares to buy

  10. Problem 10.
    • What do you want to find?: Average cost of my purchases
    • Shares bought each time: 92, 45, 180
    • Price per share each time: 45, 36, 26

    Find: Average cost per share

Answer key: Stock Average worksheet

  1. 1. Average cost per share: $33.53

    1. Find what each purchase cost: its shares times its price

      92 × $50.00 = $4,600.00; 56 × $32.00 = $1,792.00; 150 × $24.00 = $3,600.00
    2. Add up all the shares you bought

      92+56+150=298
    3. Add up what you spent on all of them

      $4,600.00+$1,792.00+$3,600.00=$9,992.00
    4. Divide the total cost by the total shares. This is your average cost per share

      $9,992.00298=$33.53
  2. 2. Shares to buy: 24.0741

    1. Find what your current shares cost in total: shares times average cost

      130×$60.00=$7,800.00
    2. Buying x more shares makes the new average (old cost + x × new price) ÷ (old shares + x). Set that equal to your target and solve for x

      x=130×$60.00−$55.00$55.00−$28.00=24.0741
    3. Find what the new shares cost

      24.0741×$28.00=$674.07
    4. Check it: the total cost divided by the total shares lands on your target

      $7,800.00+$674.07130+24.0741=$55.00
  3. 3. Shares to buy: 708.3333

    1. Find what your current shares cost in total: shares times average cost

      170×$65.00=$11,050.00
    2. Buying x more shares makes the new average (old cost + x × new price) ÷ (old shares + x). Set that equal to your target and solve for x

      x=170×$65.00−$40.00$40.00−$34.00=708.3333
    3. Find what the new shares cost

      708.3333×$34.00=$24,083.33
    4. Check it: the total cost divided by the total shares lands on your target

      $11,050.00+$24,083.33170+708.3333=$40.00
  4. 4. Average cost per share: $29.81

    1. Find what each purchase cost: its shares times its price

      108 × $35.00 = $3,780.00; 58 × $30.00 = $1,740.00; 150 × $26.00 = $3,900.00
    2. Add up all the shares you bought

      108+58+150=316
    3. Add up what you spent on all of them

      $3,780.00+$1,740.00+$3,900.00=$9,420.00
    4. Divide the total cost by the total shares. This is your average cost per share

      $9,420.00316=$29.81
  5. 5. Average cost per share: $31.36

    1. Find what each purchase cost: its shares times its price

      85 × $40.00 = $3,400.00; 60 × $25.00 = $1,500.00; 150 × $29.00 = $4,350.00
    2. Add up all the shares you bought

      85+60+150=295
    3. Add up what you spent on all of them

      $3,400.00+$1,500.00+$4,350.00=$9,250.00
    4. Divide the total cost by the total shares. This is your average cost per share

      $9,250.00295=$31.36
  6. 6. Shares to buy: 220

    1. Find what your current shares cost in total: shares times average cost

      220×$45.00=$9,900.00
    2. Buying x more shares makes the new average (old cost + x × new price) ÷ (old shares + x). Set that equal to your target and solve for x

      x=220×$45.00−$38.00$38.00−$31.00=220
    3. Find what the new shares cost

      220×$31.00=$6,820.00
    4. Check it: the total cost divided by the total shares lands on your target

      $9,900.00+$6,820.00220+220=$38.00
  7. 7. Average cost per share: $33.00

    1. Find what each purchase cost: its shares times its price

      100 × $39.00 = $3,900.00; 50 × $45.00 = $2,250.00; 150 × $25.00 = $3,750.00
    2. Add up all the shares you bought

      100+50+150=300
    3. Add up what you spent on all of them

      $3,900.00+$2,250.00+$3,750.00=$9,900.00
    4. Divide the total cost by the total shares. This is your average cost per share

      $9,900.00300=$33.00
  8. 8. Shares to buy: 300

    1. Find what your current shares cost in total: shares times average cost

      180×$44.00=$7,920.00
    2. Buying x more shares makes the new average (old cost + x × new price) ÷ (old shares + x). Set that equal to your target and solve for x

      x=180×$44.00−$34.00$34.00−$28.00=300
    3. Find what the new shares cost

      300×$28.00=$8,400.00
    4. Check it: the total cost divided by the total shares lands on your target

      $7,920.00+$8,400.00180+300=$34.00
  9. 9. Shares to buy: 1,700

    1. Find what your current shares cost in total: shares times average cost

      170×$50.00=$8,500.00
    2. Buying x more shares makes the new average (old cost + x × new price) ÷ (old shares + x). Set that equal to your target and solve for x

      x=170×$50.00−$30.00$30.00−$28.00=1,700
    3. Find what the new shares cost

      1,700×$28.00=$47,600.00
    4. Check it: the total cost divided by the total shares lands on your target

      $8,500.00+$47,600.00170+1,700=$30.00
  10. 10. Average cost per share: $32.93

    1. Find what each purchase cost: its shares times its price

      92 × $45.00 = $4,140.00; 45 × $36.00 = $1,620.00; 180 × $26.00 = $4,680.00
    2. Add up all the shares you bought

      92+45+180=317
    3. Add up what you spent on all of them

      $4,140.00+$1,620.00+$4,680.00=$10,440.00
    4. Divide the total cost by the total shares. This is your average cost per share

      $10,440.00317=$32.93