Posted on 08/25/2023 8:41:00 PM PDT by Jonty30
In math, objects can take the place of the variables.
So, it is algebra.
Whether it be abc or cat, dog, rabbit, it’s fundamentally the same operation taking place.
Sedated.
I agree .
…
59.52481 pounds. I used no algebra.
Could have been a Siamese and Persian cat, a Cottontail and and a Jack rabbit with the same Jack Russell dog.
Dog = 17kg
29
Cat = 5
Rabbit = 5
Dog = 19
A dog and a cat weigh the same as a dog , a cat and a hair.
Tastes like chicken.
The ‘standard’ way is to substitute into one equation from the others, eliminating all but one variable, then substituting that known back into the others, thus solving the simultaneous system, and thus the sum once all unknowns are known. A more elegant approach when the number of variables gets hard to handle like a million or so is inversion of the matrix of coefficients operating on the RHS of the system yielding the unknowns in one fell swoop. And yes D=17, C=7, R=3, and thus Σ=27.
Absolutely. Technically, you posted a word problem that can be expressed as a combination of algebraic expressions. You’re good.
I started learning symbolic notation in 8th grade, then, in ninth grade came Algebra 1 with simultaneous equations. Suddenly, things got SO much easier.
You posed a simple set of three simultaneous equations with three variables. Solve by successive substitution.
I went on to become a mechanical engineer. I might even remember how to ride a bike, too.
C + R = 10
d + R = 20
d + c = 24
C+d+R=x
10 – c = 20 – d
d – c = 10
d+c=24
d = 10 + c
d = 24 – c
10+c = 24-c
2c=14
c=7
d=17
R=3
C+d+R=27
In our house (for about 10 years when the Venns intersected), the 115-pound Huskador had a seriously whiney respect for the 14-pound cat. Both were terrified of the rabbit (a chinchilla, in our case) because he could move at light speed.
Oh, and 17+7+3=27kg…
Use Wolfram’s Mathematica:
Solve[{c + r == 10, d + r == 20, d + c == 24}, {c, d, r}]
Output is {{c -> 7, d -> 17, r -> 3}}
Answer is 7+17+3 = 27
Viola.
If you want the weight of all three together, why did you do three separate weights??
Are you a liberal?
(10 +20+24)/2. 27
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