Andre and Betty together weigh 150 pounds. Betty and Chris together 180…
2025
Andre and Betty together weigh 150 pounds. Betty and Chris together 180 pounds. Andre, Chris and David together weigh 360 pounds. Altogether, the four of them weigh 450 pounds. How much does David weigh?
- A.
60 Pounds
- B.
90 Pounds
- C.
160 Pounds
- D.
210 Pounds
Attempted by 39 students.
Show answer & explanation
Correct answer: D
Let A, B, C, and D represent the weights of Andre, Betty, Chris, and David respectively.
We are given the total weight of all four people is 450 pounds (A + B + C + D = 450).
We know Andre and Betty weigh 150 pounds together (A + B = 150). Subtracting this from the total gives Chris and David's combined weight: C + D = 450 - 150 = 300 pounds.
We are also told Andre, Chris, and David weigh 360 pounds (A + C + D = 360). Substituting the value of (C + D) found above, we get A + 300 = 360, which means Andre weighs 60 pounds.
Since Andre and Betty weigh 150 pounds, Betty weighs 150 - 60 = 90 pounds.
Since Betty and Chris weigh 180 pounds, Chris weighs 180 - 90 = 90 pounds.
Finally, since Chris and David weigh 300 pounds together, David weighs 300 - 90 = 210 pounds.