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?

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

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.