Math, asked by hopey, 1 year ago

if the rabbit and the cat weigh 10kg, the dog and rabbit weigh 20kg and the dog and cat weigh 24kg. what is the weight of the cat the dog and the rabbit and if ao could you please give me the working my maths teacher says it has something to do with algebra

Answers

Answered by tithi

Let the weight of cat,rabbit and dog be x,y,z respectively
acc. to the given conditions;
x+y=10
therefore, x=10-y------(i)
z+y=20-----(ii)
x+z=24-------(iii)
therefore,substituting eqn(i) in eqn(iii);
10-y+z=24
therefore'
z-y=24-10
z-y=14-----(iv)
Adding (ii) and (iv);
z+y=20
z-y=14
----------------
2z=34
therefore z=34/2=17
therefore z=17-------(v)
substituting eqn (v)in eqn(ii);
x+z=24
therefore,
x+17=24
therefore,
x=24-17
x=7--------(vi)
substituting eqn(vi)in eqn(i);
x+y=10
7+y=10
y=10-7
y=3

weight of dog is 17 kg;
weight of cat is 7 kg ;
weight of rabbit is 3 kg.

hope i helped u:)

tithi: ummm.......i'll think ab it...n let u know tomorrow

hopey: aw that wont work my homework is in for tomorrow i will see if i understand the original :)

tithi: kk:)

hopey: would this work too r=rabbit d=dog c=cat (r+c+d)=10+20+24

hopey: r+c+d=54/2=27

tithi: no this will not

hopey: please explain why

tithi: coz u have to find the weight of cat,dog n rabbit.....n u cant directly write this ...firstly the question doesn't demand it and secondly u need to justify y u wrote so

hopey: ok thankyou

tithi: hmm.....hope u didnt mind..... n i m really sorry this is the simplest way i cud ans this question.

Answered by PRANJALSHARMA

dogs weight is 17 kg
cats weight is 7 kg
rabit weight is 3 kg

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