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Math Help - Solving and Simplifying Equations

  1. #1
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    Solving and Simplifying Equations

    From the first-degree equations section of my pre-calc book:

    1) (8)/(3k-9) - (5)/(k-3) = 4

    2) Jason bought two plots of land for a total of $120,000. On the first plot he made a profit of 15%. On the second, he lost 10%. His total profit was $5500. How much did he pay for each piece of land?

    Thanks!
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  2. #2
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     \frac{8}{3k-9} - \frac{5}{k-3} = 4

     \frac{8}{3(k-3)} - \frac{5}{k-3} = 4

    Now mulitply both sides through by k-3

     \frac{8}{3} - 5 = 4(k-3)

    Can you solve it from here?
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  3. #3
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    Quote Originally Posted by NRS11 View Post

    2) Jason bought two plots of land for a total of $120,000. On the first plot he made a profit of 15%. On the second, he lost 10%. His total profit was $5500. How much did he pay for each piece of land?

    Thanks!
    Let X be the value of lot 1 and Let Y be the value of Lot 2

    So X + Y = 120,000

    Also 1.15X + 0.9Y = 120,000 + 5,500

    We now have 2 functions with 2 variables, can you solve this?
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  4. #4
    Senior Member pacman's Avatar
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    PROBLEM: "Jason bought two plots of land for a total of $120,000. On the first plot he made a profit of 15%. On the second, he lost 10%. His total profit was $5500. How much did he pay for each piece of land?"

    _______________________________________________

    Solution:

    Let x = amount of the first lot

    120,000 - x = amount of the second lot

    (15%)x - 10%(120,000 - x) = 5,500,

    0.15x - 12,000 + 0.10x = 5,500,

    0.25x = 5,500 + 12,000,

    x = (5,500 + 12,000)/0.25 = 70,000 - first lot,

    120,000 - x = 120,000 - 70,000 = 50,000 - 2nd lot

    __________________________________________________ _

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  5. #5
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    Alright, thanks so much... seeing each step was really helpful.
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