Alies dog weighs 8 times as many as much as her cat.Together,the two pets weigh 54 pounds.How much does Alis dog weigh?

Question

I need the anser

Answer 1

Let x = the wt. of the cat

 

8x = the wt. of the dog

 

x + 8x = 54

 

9x = 54

 

x = 6 lb.

 

wt. of the dog = 8x = 8 * 6 = 48 lb.

Answer 2

First set the weight of Ali's cat as a variable, say C
Because Ali's dog is 8 times as heavy as her cat, we can express the weight of her dog, D = 8*C

 

Together the weight of her dog and cat weigh 54 punds
So,
C + D = 54

C + 8C = 54

9C = 54

C = 6

So Ali's cat weighs 6 pounds

To find the wight of Ali's Dog, plug the weight of her cat into our first equation

D=8C

D=8*6

D=48

Solution: Ali's dog weighs 48 pounds