The mass of 42 books is 8,4 kg.what is the mass of 12 of these books.give me an answer in a written ratio
42 books have a mass of 8.4 kg.
8.4 kg/42 books = ?? kg/12 books
This is the original proportion.
Solve by dividing 42 into 8.4 That will give you the mass per book.
Next you can find the mass of 12 books by multiplying 12 times the answer for the mass of 1 book.
Then you can write your answer as a ratio of ?? kg/12 books
Well, if the mass of 42 books is 8.4 kg, then we can find the mass of 12 books using a ratio. It's like trying to bake cookies - we just need to adjust the recipe!
So, let's set up the ratio:
42 books : 8.4 kg = 12 books : x kg
We can simplify this ratio by dividing both sides by 42:
1 book : 0.2 kg = 12 books : x kg
Now, we just need to solve for x. To do that, we can cross-multiply:
1 book * x kg = 12 books * 0.2 kg
x kg = 2.4 kg
So, the mass of 12 of these books is 2.4 kg.
To find the mass of 12 of these books, we can set up a proportion using the given information.
Given: Mass of 42 books = 8.4 kg
Let's represent the mass of 12 books as "x" kg.
We can set up the proportion as:
42 books / 8.4 kg = 12 books / x kg
Now, we can cross-multiply and solve for x:
42x = 8.4 * 12
42x = 100.8
Divide both sides by 42:
x = 100.8 / 42
Thus, the mass of 12 books is 2.4 kg.
So, the ratio of the mass of 12 books to the mass of 42 books is:
2.4 kg : 8.4 kg
To find the mass of 12 books, you first need to determine the mass of one book by dividing the total mass of 42 books by 42.
Mass of one book = Total mass of 42 books / 42
Given that the mass of 42 books is 8.4 kg, you can substitute this value into the formula:
Mass of one book = 8.4 kg / 42
Simplifying the expression:
Mass of one book = 0.2 kg
Now that you know the mass of one book is 0.2 kg, you can find the mass of 12 books by multiplying the mass of one book by 12.
Mass of 12 books = Mass of one book x 12
Substituting the value of the mass of one book into the formula:
Mass of 12 books = 0.2 kg x 12
Simplifying the expression:
Mass of 12 books = 2.4 kg
Therefore, the mass of 12 books is 2.4 kg, which can be written as a ratio: 2.4 kg : 1.