SOLUTION: A puppy and two cats together weigh 24 pounds. The puppy and the larger cat together weigh exactly twice as much as the smaller cat, and the puppy and the smaller cat together weig

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: A puppy and two cats together weigh 24 pounds. The puppy and the larger cat together weigh exactly twice as much as the smaller cat, and the puppy and the smaller cat together weig      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 979263: A puppy and two cats together weigh 24 pounds. The puppy and the larger cat together weigh exactly twice as much as the smaller cat, and the puppy and the smaller cat together weigh exactly the same as the larger cat. How many pounds does the puppy weigh?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
p, c, C;
puppy, small cat, large cat;

system%28c%2BC%2Bp=24%2Cp%2BC=2%28c%29%2Cp%2Bc=C%29

Any method you want. Solve for p or any other variables you want.

A start for the system, not the only way:
Substitute for C in the first two equations.
-
system%28c%2B%28p%2Bc%29%2Bp=24%2Cp%2B%28p%2Bc%29=2c%29
-
system%282c%2Bp=24%2C2p%2Bc-2c=0%29-------which is a simpler system...

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A puppy and two cats together weigh 24 pounds. The puppy and the larger cat together weigh exactly twice as much as the smaller cat, and the puppy and the smaller cat together weigh exactly the same as the larger cat. How many pounds does the puppy weigh?
Puppy's weight: highlight_green%284%29 lbs