Question

Отношение цен двух книг равно 1,2 : 0,4 . Сколько стоит каждая книга , если первая на 2 ,40 евро дороже второй?

Answer 1

Х             -  2-ая книга
х + 2,4    - 1-ая книга

х + 2,4       1,2
---------- =  -------
   х              0,4

0,4(х + 2,4) = 1,2х
0,4х + 0,96 = 1,2х
0,4х - 1,2х = - 0,96
- 0,8х = - 0,96
х = 1,2 - стоит - 2-ая книга.
1,2 + 2,4 = 3,6 - стоит 1-ая книга.

Answer 2

Solution:

Let's solve the problem step by step.

Step 1: Set up the equation based on the given information:

Let's assume the cost of the second book is x euros. Then, according to the given information, the cost of the first book is 2.40 euros more than the cost of the second book. Therefore, the cost of the first book can be represented as (x + 2.40) euros.

Step 2: Use the given ratio to form an equation:

The ratio of the prices of the two books is given as 1.2 : 0.4, which simplifies to 3 : 1. We can use this ratio to form an equation.

Step 3: Solve the equation to find the cost of each book:

We can set up the equation as follows: 3(x + 2.40) = 1(x)

Now, let's solve for x to find the cost of the second book.

Calculation:

3(x + 2.40) = x

3x + 7.20 = x

2x = 7.20

x = 7.20 / 2

x = 3.60

So, the cost of the second book (x) is 3.60 euros.

Now, we can find the cost of the first book by adding 2.40 euros to the cost of the second book.

Cost of the first book = 3.60 + 2.40 = 6.00 euros

Answer:

Therefore, the cost of the first book is 6.00 euros and the cost of the second book is 3.60 euros.