Question

cat and rabbit weigh 10kg. A dog and rabbit weigh 20kg. A dog and cat weigh 24kg. How much do the rabbit, cat and dog weigh all together? what will be the wieght of one?​

Answer 1

Answer:

Cat=7kg ,Dog=17 kg ,Rabbit =3kg ,total weight=27 kg

Step-by-step explanation:

As per the question it is  based on total weight at all animals  

We need to find the total weight of dog, cat rabbit

Following data is given as follows

Cat and rabbit weight=10kg

Dog and rabbit weight=20kg

dog and cat weight =24kg

we need to find the total weight as well as weight of dog ,cat ,rabbit

Let us assume

Dog=D ,cat=C ,rabbit= R

C+ R =10kg

D+ R=20kg

D+ C =24kg

Adding the equations

2C +2D+2R=10+20+24

2(C+ D+ R)=54

C+ D+ R=54 /2

C+ D+ R=27

R = 10 - C = 20 - D  

C = D - 10

Substitute in the third equation:

D + D - 10 = 2D - 10 = 24

2D = 34; D = 17 (Dog = 17 kg)

C = D - 10 = 17 - 10; C = 7 (Cat = 7kg)

R = 10 - 7 = 20 - 17; R = 3 (Rabbit = 3 kg)

D + C + R = 17 + 7 + 3 = 27 kg.

So finally we get the weight of

Cat=7kg ,Dog=17 kg ,Rabbit =3kg ,total weight=27 kg

Answer 2

INFORMATION PROVIDED :-

cat and rabbit weigh 10kg. A dog and rabbit weigh 20kg

A dog and cat weigh 24kg

QUESTION :-

cat and rabbit weigh 10kg. A dog and rabbit weigh 20kg. A dog and cat weigh 24kg. How much do the rabbit, cat and dog weigh all together? what will be the wieght of one?

GIVEN :-

cat and rabbit weigh 10kg

A dog and rabbit weigh 20kg

A dog and cat weigh 24kg

What we have to find :-

cat and dog weigh all together = ?

what will be the wieght of one?

SOLUTION :-

Weight of cat and mouse = 10kg

so C + M = 10 kg (i)

similarly D + M = 20kg(ii)

and D + C = 24kg(iii)

adding (i),(ii) and (iii) we get :-

C + C + D + D + M + M = 10 + 20 + 24 = 54kg

so 2C + 2D + 2M = 54 kg

taking 2 as common

so 2(C+D+ M) = 54kg

so (C+D+M) = 54/2 = 27kg

so cat,mouse and dog together weight

27 kg