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15 April, 04:56

1.

John weighs three times as much as Karen. Two times John's weight plus Karen's weight is 875 pounds. How much does John weigh? How much does Karen weigh?

(Hint: Let j stand for John's weight, and let k stand for Karen's weight.)

2.

Mary is three times as old as Joe. Mary's age plus Joe's age is 24. Find Mary's age and Joe's age. (Hint: Let m stand for Mary's age, and let j stand for Joe's age.)

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Answers (2)
  1. 15 April, 04:58
    0
    1 answer

    weight of karen = k

    weight of john = j

    by the question

    j=3k

    then

    case II

    2j + k = 875

    2*3k+k=875

    7k = 875

    k=875/7

    k=125

    now

    j=3k

    =3*125

    =375

    hence john was 375 pound and karen was 125.

    2 answer

    let Mary be m and joes be j

    by question

    M=3J

    CASE II

    M + J=24

    3J + J = 24

    J = 24/4

    J=6

    NOW

    M=3*6

    M=18

    Therefore Mary was 18 yrs old and Joes was 6 yrs old.
  2. 15 April, 05:12
    0
    Answer 1 ...

    j = 3k

    2j + k = 875

    substituting the first eqn into the 2nd

    2 (3k) + k = 875

    6k + k = 875

    7k = 875

    k = 875/7 = 125

    thus j = 3 (125) = 375

    Answer ... 2

    m = 3j

    m+j = 24

    3j + j = 24

    4j = 24

    joe = 6yrs

    mary = 3 (6) = 18yrs
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Home » Mathematics » 1. John weighs three times as much as Karen. Two times John's weight plus Karen's weight is 875 pounds. How much does John weigh? How much does Karen weigh? (Hint: Let j stand for John's weight, and let k stand for Karen's weight.) 2.
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