Question
Rick, Leonard and Jackie weighed a total of 256.1 kg. Rick weighs 9.4 less than Leonard. Leonard weighs 7.2 kg less than Jackie. Find the weight of each boy.
Answers
GPT 3.5
Let's represent the weight of Rick as x kg.
According to the problem, Leonard weighs 9.4 kg more than Rick, so his weight is (x + 9.4) kg.
Similarly, Jackie weighs 7.2 kg more than Leonard, so his weight is (x + 9.4 + 7.2) kg = (x + 16.6) kg.
The total weight of Rick, Leonard, and Jackie is x + (x + 9.4) + (x + 16.6) = 256.1 kg.
Combining like terms, we get 3x + 26 = 256.1.
Subtracting 26 from both sides, we get 3x = 230.1.
Dividing both sides by 3, we get x = 76.7 kg.
So the weight of Rick is x = 76.7 kg.
The weight of Leonard is x + 9.4 = 76.7 + 9.4 = 86.1 kg.
The weight of Jackie is x + 16.6 = 76.7 + 16.6 = 93.3 kg.
Therefore, Rick weighs 76.7 kg, Leonard weighs 86.1 kg, and Jackie weighs 93.3 kg.
According to the problem, Leonard weighs 9.4 kg more than Rick, so his weight is (x + 9.4) kg.
Similarly, Jackie weighs 7.2 kg more than Leonard, so his weight is (x + 9.4 + 7.2) kg = (x + 16.6) kg.
The total weight of Rick, Leonard, and Jackie is x + (x + 9.4) + (x + 16.6) = 256.1 kg.
Combining like terms, we get 3x + 26 = 256.1.
Subtracting 26 from both sides, we get 3x = 230.1.
Dividing both sides by 3, we get x = 76.7 kg.
So the weight of Rick is x = 76.7 kg.
The weight of Leonard is x + 9.4 = 76.7 + 9.4 = 86.1 kg.
The weight of Jackie is x + 16.6 = 76.7 + 16.6 = 93.3 kg.
Therefore, Rick weighs 76.7 kg, Leonard weighs 86.1 kg, and Jackie weighs 93.3 kg.