Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Pls help with this math question ?

Linda received twice as much profit on her investment as Ella did. Kris received $200 more than Linda. If the total profit was $1700, how much did KRIS receive? 

Thx

3 Answers

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  • ?
    Lv 7
    1 month ago

    > Linda received twice as much profit on her investment as Ella did.

    TRANSLATION. L = 2E...............[1]

    > Kris received $200 more than Linda.

    TRANSLATION. K = L+200.........[2]

    > If the total profit was $1700,

    TRANSLATION. E +L + K = 1700.........[3]

    >  how much did KRIS receive?

    TRANSLATION. Solve for K

    // You have 3 equations. Since we're solving for K,

    // get L and E in terms of K.

    // Rewrite [2] solving for L

    K = L+200.........[2]

    L = K -200.........[2a]

    // Use [2a] to rewrite E in terms of K

    L = 2E..............[1]

    E = L/2

    E (K-200)/2.......[1a]

    // Now use [1a] and [2a] to rewrite [3] in terms of K

    E +L + K = 1700.........[3]

    (K-200)

    ---------- + (K-200) + K = 1700

    ...2

    // Solve for K

    (K-200)  + 2(K-200) + 2K = 2(1700)

    K - 200 + 2K - 400 + 2K = 3400

    5K - 600 = 3400

    5K = 4000

    K = 800...................ANS

  • Amy
    Lv 7
    1 month ago

    L = 2E

    K = L+ 200

    E + L + K =1700

  • 1 month ago

    Let l = Linda's profit

    Let e = Ella's profit

    Let k = Kris' profit

    Linda had twice as Ella:

    l = 2e

    Kris received $200 more than Linda:

    k = 200 + l

    The total profit was $1,700:

    l + e + k = 1700

    We have a system of two equations and two unknowns.  Let's start with substituting the expression (200 + l) for "k" in the last equation, then simplify:

    l + e + k = 1700

    l + e + 200 + l = 1700

    2l + e = 1500

    Now substitute the expression (2e) in for "l" and simplify, solve for e:

    2(2e) + e = 1500

    4e + e = 1500

    5e = 1500

    e = 300

    Now that we have "e", we can work back to solve for "l" and "k":

    l = 2e

    l = 2(300)

    l = 600

    k = 200 + l

    k = 200 + 600

    k = $800 is Kris' profit

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