Question

Книга дороже карандаша в 3 раза, а льбом дороже карандаша в 5 раз. Книга дороже карандаша на 28 рублей. Сколько стоит альбом?

Answer 1

Карандаш - х руб
книга - 3х
альбом  - 5х
3х-х=28
2х=28
х=28:2
х=14руб - цена карандаша
3*14=42руб - цена книги
5*14=70 руб - цена альбома

Answer 2

Solving the Equation

To solve the given problem, we can use algebraic equations to represent the relationships between the prices of the items. Let's denote the price of the pencil as p, the price of the book as b, and the price of the album as a.

We are given the following information: 1. The book is 3 times more expensive than the pencil: b = 3p 2. The album is 5 times more expensive than the pencil: a = 5p 3. The book is 28 rubles more expensive than the pencil: b = p + 28

We can use these equations to find the price of the album.

Calculating the Price of the Album

First, we can use the relationship between the book and the pencil to find the value of p: b = 3p Substitute the value of b from the third equation: p + 28 = 3p

Solving for p: 28 = 2p p = 14

Now that we have the value of p, we can find the price of the album using the second equation: a = 5p

Substitute the value of p: a = 5 * 14 a = 70

Answer

So, the price of the album is 70 rubles.