Dominic, Ralf and Peter have just eaten a HUGE Christmas meal. Dominic now weighs half as much as Ralph, and Peter weighs three times as much as Dominic. Together they weigh 720 pounds. How much does Dominic weigh?

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The question requires us to form an algebraic expression in order tocalculate Dominics weight, after telling us his weigh with respect tohis peers and the sum of their weights. Let D represent Dominicsweight, R represent Ralphs weight and P represent Peters weight. Fromthe given information, we can form:
2D = R
3D = P
P + R + D = 720
Now, we substitute values into the last equation:
3D + 2D + D = 720
6D = 720
D = 120
Dominics weight is 120 pounds

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