SOLUTION: John and Amelia have a baby daughter, Sonia. John is 23 kg heavier than Amelia, who is four times as heavy as Sonia.Their combined weight is 122 kg.How heavy is each person?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: John and Amelia have a baby daughter, Sonia. John is 23 kg heavier than Amelia, who is four times as heavy as Sonia.Their combined weight is 122 kg.How heavy is each person?      Log On


   

Question 1162062: John and Amelia have a baby daughter, Sonia. John is 23 kg heavier than Amelia, who is four times as heavy as Sonia.Their combined weight is 122 kg.How heavy is each person?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


x = Sonia's weight
4x = Amelia's weight (4 times as heavy as Sonia)
4x+23 = John's weight (23kg more than Amelia)

The sum of their weights is 122 kg:

x%2B4x%2B4x%2B23+=+122

Solve using basic algebra....