Question

У маши было в 5 раз больше конфет чем у кати всего же у девочек было 96 конфет сколько конфет было у каждой путь до посёлка в 3 раза кароче чем до города при этом путь до города на 26 км больше чем до посёлка каков путь до посёлка для приготовления супа берут 7 части воды 3 части овощей и 2 части мяса всего получается 3600 грамм супа сколько грамм овощей потребуется У коли было в 4 раза меньше яблок чем у миши всего у мальчиков было 75 яблок сколько яблок было у каждого мальчика

Answer 1

1) x+5x=96.
6x=96
x=96:6
х=16 это у Кати
16*5=80 это у Маши
2) Допустим, х - путь до посёлка, а 3х - до города
3х-х=26
2х=26
х=13
Ответ: 13 км
3)7+3+2=12 (частей) - это в составе супа всего
 3600:12=300 (г) - это масса одной части
 3*300=900 (г) - это масса овощей
4)4х + х=75
5х=75
х=75÷5
х=15
Следовательно у Коли 15 яблок а у Миши 15×4=60 яблок 

Answer 2

Problem Analysis

We are given several problems in this question. Let's break them down one by one:

1. The number of candies that Katya and Masha have, with the total number of candies being 96. 2. The ratio of the distance to the village to the distance to the city, with the distance to the city being 26 km more than the distance to the village. 3. The amount of vegetables needed to make soup, with the ratio of water to vegetables to meat being 7:3:2 and the total weight of the soup being 3600 grams. 4. The number of apples that Kolya and Misha have, with the total number of apples being 75.

We will solve each problem step by step.

Problem 1: Number of Candies

Let's assume that Katya has x candies. According to the problem, Masha has 5 times more candies than Katya. So, Masha has 5x candies.

The total number of candies is given as 96. Therefore, we can write the equation:

x + 5x = 96

Simplifying the equation:

6x = 96

Dividing both sides by 6:

x = 16

So, Katya has 16 candies and Masha has 5 times more, which is 5 * 16 = 80 candies.

Therefore, Katya has 16 candies and Masha has 80 candies.

Problem 2: Distance to the Village and City

Let's assume the distance to the village is x km. According to the problem, the distance to the city is 26 km more than the distance to the village. So, the distance to the city is x + 26 km.

The problem states that the distance to the village is 3 times shorter than the distance to the city. Therefore, we can write the equation:

x = (x + 26) / 3

Simplifying the equation:

3x = x + 26

Subtracting x from both sides:

2x = 26

Dividing both sides by 2:

x = 13

So, the distance to the village is 13 km and the distance to the city is 13 + 26 = 39 km.

Therefore, the distance to the village is 13 km.

Problem 3: Amount of Vegetables for Soup

According to the problem, the ratio of water to vegetables to meat in the soup is 7:3:2. The total weight of the soup is given as 3600 grams.

Let's assume the weight of water is 7x grams, the weight of vegetables is 3x grams, and the weight of meat is 2x grams.

The total weight of the soup is the sum of the weights of water, vegetables, and meat:

7x + 3x + 2x = 3600

Simplifying the equation:

12x = 3600

Dividing both sides by 12:

x = 300

So