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AlexFokin [52]
4 years ago
8

als dog weighed 8 times as her cat. together the two pets weighed 54 pounds. how much did als dog weigh

Mathematics
1 answer:
alex41 [277]4 years ago
5 0

d = 8c

d + c = 54

We can plug 8c into the value for d in the second equation to find the value of c.

8c + c = 54

<em><u>Combine like terms.</u></em>

9c = 54

<em><u>Divide both sides by 9.</u></em>

c = 6 (This is how much the cat weighs.)

Now we can plug this value in for c to find the value of d.

d + 6 = 54

<em><u>Subtract 6 from both sides.</u></em>

d = 48. (This is how much the dog weighs.)

We can plug these values into both of the original equations to verify.

d = 8c

48 = 8(6)

48 = 48 √ this is correct.

d + c = 54

48 + 6 = 54 √ this is also correct.

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