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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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Respuesta :

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.

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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