John and Peter are hostel fellows too. Each of them pays the rent, according to their room's size. Peter's room is twice as big as John. How much rent does Peter pay if the total rent of two rooms is $600?

Explanation

To solve this, we set John's rent as $x and Peter's rent as $2x because his room is twice as big. Therefore, the equation is:$x + $2x = $600Solving for x gives:$3x = $600x = $200Thus, Peter pays $2x, which is $400.Option A ($600) suggests Peter pays all the rent, which is incorrect. Option C ($200) suggests Peter pays the same as John, which contradicts the problem. Option D ($240) does not align with the proportional rent based on room size. ORWe're told:Peter's room is twice as big as John'sTotal rent = $600Rent is proportional to room sizeStep 1: Let John's rent be xSince Peter's room is twice as big, his rent is 2xStep 2: Set up the equationx+2x=600⇒3x=600⇒x=200x + 2x = 600 , 3x = 600 , x = 200Step 3: Find Peter's rent2x=2×200=4002x = 2 x 200 = 400✅ Final Answer: Peter pays $400 in rent.