SOLUTION: Carol's cat weighs 2 pounds. Doug's dog weighs 14 pounds. Both pets are gaining about a pound a month. If they keep on gaining weight like that, the dog will soon weigh three tim

Question 515073: Carol's cat weighs 2 pounds. Doug's dog weighs 14 pounds. Both pets are gaining
about a pound a month. If they keep on gaining weight like that, the dog will soon weigh three times as much as the cat. How many pounds will the cat weigh then?
Found 2 solutions by Maths68, josmiceli:
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Cat = 2 lb
Dog = 14 lb
Let both gain x lb
(Dog + x)=3*(Cat+x)
14+x=3(2+x)
14+x=6+3x
x-3x=6-14
-2x=-8
-2x/-2=-8/-2
x=4
Cat = 2lb + 4lb = 6 lbs
Dog = 14lb + 4lb = 18 lbs
The cat wil weigh 6 pounds.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of months
after the 1st weighing
Let = cat's weight
Let = dog's weight

When the dog weighs 3 times the cat:

Multiply both sides by

The dog will weigh pounds
The cat will weigh pounds
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