Question

4. Решить задачу: За 2 шоколадки и 4 напитка заплатили 1700 тенге. Шоколад дороже напитка на 400 тенге. Сколько тенге стоит одна шоколадка и один напиток?​

Answer 1

Ответ:

Пошаговое объяснение:

1 шоколадка = х

1 напиток = у

2х + 4у = 1700

х - у = 400

2х + 4у = 1700

х = 400 + у

Решим систему методом подстановки

1)

2х + 4у = 1700

2(400 + у) + 4у = 1700

800 + 2у + 4y = 1700

2у + 4у = 1700 - 800

6у = 900

у = 900 : 6

у = 150

2)

х = 400 + у

х = 400 + 150

х = 550

1 шоколадка = (х) = 550 тг

1 напиток = (у) = 150 тг

1) 550 - 150 = 400 (тг) - дороже 1 шоколадка

2) 550*2 + 150*4 = 1100 + 600 = 1700 (тг) - стоит вся покупка

Answer 2

Problem Analysis

To solve this problem, we need to find the cost of one chocolate and one drink. We are given that the cost of two chocolates and four drinks is 1700 tenge, and that the chocolate is 400 tenge more expensive than the drink.

Solution

Let's assume the cost of one drink is x tenge. Since the chocolate is 400 tenge more expensive than the drink, the cost of one chocolate would be x + 400 tenge.

According to the given information, the cost of two chocolates and four drinks is 1700 tenge. We can set up the following equation to represent this:

2 * (x + 400) + 4 * x = 1700

Simplifying the equation:

2x + 800 + 4x = 1700 6x + 800 = 1700 6x = 1700 - 800 6x = 900 x = 900 / 6 x = 150

Therefore, the cost of one drink is 150 tenge. Since the chocolate is 400 tenge more expensive, the cost of one chocolate would be 150 + 400 = 550 tenge.

Answer

One chocolate costs 550 tenge and one drink costs 150 tenge.