Question

В зоомагазине продают канареек и попугаев. Канарейка стоит в 2 раза дороже попугая. Школьники, зашедшие в магазин, купили для живого уголка 5 канареек и 3 попугая. Если бы они купили 3 канарейки и 5 попугаев, то потратили бы на 200 рублей меньше. Сколько стоит каждая птица?

Answer 1

Х-стоимость одного попугая
(5*2*х+3*х)-(3*2*х+5х)=200
10х+3х-6х-5х=200
2х=200
х=200:2
х=100 рублей стоит попугай
100*2=200 рублей стоит канарейка

Answer 2

Problem Analysis

We are given that a pet store sells canaries and parrots, with canaries being twice as expensive as parrots. A group of schoolchildren bought 5 canaries and 3 parrots for their classroom. If they had bought 3 canaries and 5 parrots instead, they would have spent 200 rubles less. We need to determine the cost of each bird.

Solution

Let's assume the cost of a parrot is x rubles. According to the given information, the cost of a canary is twice that of a parrot, so the cost of a canary is 2x rubles.

The schoolchildren bought 5 canaries and 3 parrots, so the total cost of the canaries is 5 * (2x) = 10x rubles, and the total cost of the parrots is 3 * x = 3x rubles.

If they had bought 3 canaries and 5 parrots instead, the total cost of the canaries would have been 3 * (2x) = 6x rubles, and the total cost of the parrots would have been 5 * x = 5x rubles.

According to the problem, if they had bought 3 canaries and 5 parrots, they would have spent 200 rubles less. Therefore, we can set up the following equation:

10x - 3x = 6x - 5x + 200

Simplifying the equation, we get:

7x = x + 200

Subtracting x from both sides, we get:

6x = 200

Dividing both sides by 6, we find:

x = 200 / 6 = 33.33

So the cost of a parrot is approximately 33.33 rubles.

Since the cost of a canary is twice that of a parrot, the cost of a canary is approximately 2 * 33.33 = 66.67 rubles.

Therefore, each parrot costs approximately 33.33 rubles, and each canary costs approximately 66.67 rubles.

Answer

Each parrot costs approximately 33.33 rubles, and each canary costs approximately 66.67 rubles.