Question

The big dog weighs 5 times as much as the little dog. The little dog weighs 2 3 as much as the medium-sized dog. The medium-sized dog weighs 12 pounds more than the little dog. How much (in pounds) does the big dog weigh

Answer 1

Answer:

The answer to your question is the big dog weighs 120 pounds

Step-by-step explanation:

Data

big dog = b    

medium dog = m

small dog = s

Equations

       b = 5s

       m = 12 + s

       s = 2/3 m

Process

1.- Substitute m in the last equation

       s = 2/3(12 + s)

       s = 24/3 + 2/3s

       s - 2/3s = 8

       1/3 s = 8

             s = 8(3)

             s = 24 pounds

2.- Substitute s in the first equation

        b = 5(24)

        b = 120 pounds