Three dogs and two cats weigh 33 kg all together. Four dogs and three cats weigh 45 kg. All dogs have the same weight and all cats have the same weight between them. How many kg weigh 4 cats and two dogs?
As all the cats have the same weight and all the dogs have the same weight, we therefore we first need to know the combined weight of 1 dog and 1 cat.
Answer:
Step-by-step explanation:
Answer:
Three dogs and two cats weigh 33 kg all together. Four dogs and three cats weigh 45 kg. All dogs have the same weight and all cats have the same weight between them. How many kg weigh 4 cats and two dogs?
As all the cats have the same weight and all the dogs have the same weight, we therefore we first need to know the combined weight of 1 dog and 1 cat.
45kg – 33kg = 12kg
1 dog and 1 cat = 12kg, 2 dogs + 2 cats = 24kg
3 dogs & 2 cats – 2 dogs & 2 cats = 9kg. Therefore 1 dog = 9kg (45–33)
2 dogs = 18kg, 24kg – 2 dogs = 6kg = 2 cats, 6kg /2 = 3kg = 1 cat
So we have 1 dog = 9kg and 1 cat = 3kg
4 cats x 3kg + 2 dogs x 9kg = 12kg + 18kg = 30kg
Answer 4 cats and 2 dogs all weigh 30kg.