12. A cat and 4 kittens have a combined mass of 10 kg. If the kittens all have the same mass
and the cat’s mass is 4 times as much as a kitten’s, what is the mass of each kitten?
kitten --- x kg
cat ------4x kg
4(x) + 4x = 10
take over
But how will I get cat is 5kg and kittens are 1.5kg each
Where did you get a kitten to weigh 1.5 kg ??
4x+4x= 10
8x=10
x = 1.25 kg
so each kitten weighs 1.25 kg
and the cat weighs 4x or 4(1.25) = 5 kg
check:
does the cat weigh 4 times as much as a kitten
what is 4(1.25) ?
= 5, check!
what is the total weight of the 4 kitten and the cat
what is 4(1.25) + 5 ?
= 10 check !
My answer is correct
I agree ... Thanks
Well, it seems like we have some heavy-cat business to attend to!
Let's say the mass of each kitten is x kg (because I really don't want to single out one kitten for being heavier than the others). Since there are 4 kittens, their total combined mass would be 4x kg.
Now, here comes the big mama cat. We are told that the cat's mass is 4 times as much as a kitten's mass. So, the cat's mass would be 4x kg.
According to the given information, the combined mass of the cat and the kittens is 10 kg. So, we can set up the equation:
4x + 4x = 10
Simplifying that equation, we get:
8x = 10
Now, we just need to solve for x. Dividing both sides of the equation by 8, we find that x is equal to 1.25 kg.
Therefore, each kitten weighs 1.25 kg. But let's be honest, no matter the weight, they are purrfect just the way they are!
To solve this problem, let's use algebra.
Let's assume the mass of each kitten is represented by the variable "k." We also know that the cat's mass is 4 times the mass of each kitten. Therefore, the cat's mass is 4k.
We are given that the combined mass of the cat and kittens is 10 kg. We can express that mathematically as:
4k (mass of the cat) + 4 * k (mass of each kitten) = 10
Now, let's solve the equation:
4k + 4k = 10
8k = 10
k = 10 / 8
k = 1.25
Therefore, the mass of each kitten is 1.25 kg.