Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid's weight, Pythagoras's
weight would still be
4
pound less than he did in January. What is Euclid's weight?
(a) Write an equation that represents the scenario. Begin by defining your variable
(b) Solve the equation. Show your work
(c) What is Euclid's weight?
(d) Jake adopts a third dog. Riemann. Riemann weighs exactly twice what Euclid weighs. The combined
weight of the three dogs is 60 pounds. What is Riemann's weight, and what is Pythagoras's
2
weight? Show your work.