Question 184974: Melanie's weight is equal to the weight of 20 rabbits.The weight of 50 rabbits is equal to the weight of 3 goats.The weight of 15 goats is equal to the weight of 12 horses.The weight of 20 horses is equal to the weight of 12 cows.
The weight of 60 goats is equal to how many times the weight of Melanie.?????????????The weight of 24 horeses is equal to how many times the weight of Melanie???????The weight of 48 cows is equal to how many times the weight of melanie???PLZZZZZZZZZZ ANSWERRRRRRRRRRRRR HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP .FOR GODDDDDDDDD SAKEEEEEEEEE !!!!!!!!!!!!!!!!!!! VERY IMPORTANT !!!!!!!!!!
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! I'll answer the first two questions to get you going in the right direction.
Let m=weight of Melanie, r=weight of one rabbit, g=weight of one goat, h=weight of one horse, and c=weight of one cow
Since "Melanie's weight is equal to the weight of 20 rabbits", this tells us that . Let's call this equation 1.
Also, because "The weight of 50 rabbits is equal to the weight of 3 goats", this means that . We'll make this equation 2.
In addition, the statement "The weight of 15 goats is equal to the weight of 12 horses" signifies that . Name this equation 3.
Finally, the claim "The weight of 20 horses is equal to the weight of 12 cows" algebraically translates to . Label this equation 4.
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Question # 1: The weight of 60 goats is equal to how many times the weight of Melanie.?
Start with equation 2.
Multiply both sides by 20 (we want the right side to be 60g)
Multiply. So the weight of 100 rabbits is equal to the weight of 60 goats.
So this means that we want to find Melanie's weight compared to 1000 rabbits
Go back to the first equation
Multiply both sides by 50 (we want the right side to be 1000r, from before)
Multiply
So 50 times Melanie's weight is equal to the weight of 1000 rabbits which in turn is equal to the weight of 60 goats.
So this means that 50 times Melanie's weight is equal to the weight of 60 goats
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Question # 2: The weight of 24 horses is equal to how many times the weight of Melanie?
Start with the third equation
Multiply both sides by 2 (we want the right side to be 24h)
Multiply
So 30 goats have the same weight as 24 horses
Move back to the second equation
Multiply both sides by 10 to get the right side to 30g
So 500 rabbits are of the same weight as 30 goats. This means that 500 rabbits are of the same weight as 24 horses (ie ).
Now go back to the first equation
Multiply both sides by 25 to get the right side equal to 500r
So 25 times Melanie's weight is equal to the weight of 500 rabbits
Consequently, this means that 25 times Melanie's weight is equal to the weight of 24 horses.
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