If my dog and cat has a combine weight of 24kg and my rabbit and my dog has a combine weight of 20kg and my cat and rabbit has a combine weight of 10kg.whats the combine weight of my rabbit,dog and cat
Please help with this one im totally confused
Eq1: D + C = 24kg
Eq2: D + R = 20kg
Eq3: C + R = 10kg
Subtract Eq2 from Eq1:
D + C = 24
D + R = 20
Diff: C-R = 4
R = C-4
In Eq3, replace R with C-4:
C + C-4 = 10
2C = 14
C = 7 kg
In Eq1, replace C with 7:
D + 7 = 24
D = 17 kg
R = C-4 = 7-4 = 3 kg
C + D + R = 7 + 17 + 3 = 27 kg.
To find the combined weight of your rabbit, dog, and cat, we can use a system of equations. Let's assign variables to each animal:
Let x be the weight of the rabbit.
Let y be the weight of the dog.
Let z be the weight of the cat.
Based on the given information, we can write the following equations:
1) y + z = 24 (the dog and cat have a combined weight of 24kg)
2) x + y = 20 (the rabbit and dog have a combined weight of 20kg)
3) x + z = 10 (the cat and rabbit have a combined weight of 10kg)
To solve these equations simultaneously, we can use a method called substitution:
From equation 3, we can express z in terms of x: z = 10 - x
Substituting this expression for z into equation 1, we get: y + (10 - x) = 24
Simplifying this equation: y - x = 14 ---- (equation 4)
Adding equation 2 (x + y = 20) and equation 4 (y - x = 14), we can eliminate the variable y:
(x + y) + (y - x) = 20 + 14
2y = 34
y = 17
Substituting y = 17 back into equation 2, we can find x:
x + 17 = 20
x = 3
Now that we have x = 3, y = 17, we can find z by substituting x and y into equation 3:
3 + z = 10
z = 7
So, the combined weight of your rabbit, dog, and cat is x + y + z = 3 + 17 + 7 = 27kg.