Question

Книга в переплете стоит 0,75 руб. Переплёт в 4 раза дешевле книги без переплёта. Сколько стоят по отдельности переплёт и книга?

Answer 1

Переплет стоит  -х руб
книга без переплета- 4х руб
Книга в переплете  х+4х=0,75
                                 5х=0,75
                                 х=0,75:5
                                 х=0,15 руб стоит переплет
 0,15*4=0,6 руб стоит книга без переплета

Answer 2

Calculating the Cost of the Book and the Binding

To solve this problem, we can set up a system of equations based on the given information. Let's denote the cost of the book as B and the cost of the binding as P.

1. The book in a binding costs 0.75 rubles. 2. The binding is four times cheaper than the book without the binding.

We can express these statements as equations:

- Equation 1: B + P = 0.75 - Equation 2: P = 0.25B

Solving the Equations

We can solve this system of equations to find the individual costs of the book and the binding.

Substitute the value of P from Equation 2 into Equation 1: B + 0.25B = 0.75 1.25B = 0.75 B = 0.75 / 1.25 B = 0.6

Now that we have the value of B, we can find the value of P using Equation 2: P = 0.25 * 0.6 P = 0.15

Answer

So, the cost of the book is 0.6 rubles and the cost of the binding is 0.15 rubles.