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? H

Question

3 years ago

15

ow much does Karen weigh?

2 answers:

Harlamova29_29 [7] · Answer 1 · 2022-09-06T03:46:07+03:00

Answer:john weighs 375 pounds.

Karen weighs 125 pounds

Step-by-step explanation:

Let x represent the weight of John.

Let y represent the weight of Karen.

John weighs three times as much as Karen. This means that

x = 3y

Two times John's weight plus Karen's weight is 875 pounds. This means that

2x + y = 875 - - - - - - - -1

Substituting x = 3y into equation 1, it becomes

2 × 3y + y = 875

6y + y = 875

7y = 875

y = 875/7 = 125

Substituting y = 125 into x = 3y. It becomes

x = 3 × 125 = 375

Leokris [45] · Answer 2 · 2022-09-06T02:32:24+03:00

3 0

Answer:

John- 375

Karen- 125

Step-by-step explanation:

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