Question

Решите задачу ! из яблок,груш и абрикосов изготовили сок.Груш в 3 раза больше чем абрикосов и на 500 г меньше чем яблок всего понадобилось 2 кг яблок и груш сколько кг абрикосов и сколько кг яблок понадобилось для изготовления сока

Answer 1

500 гр=0,5кг=1/2 кг
За единицу измерения выберем абрикосы. 
Обозначим их количество буквой а
Тогда груш было 3а
яблок 3а+ 0,5 кг
Всего фруктов было 2 кг
Составим и решим уравнение. 
а+3а+3а+0,5=2
7а=1,5
а=1,5:7=(3/2):7=3/14 кг было абрикосов
Груш 
было 3*3/14=9/14 кг
Яблок
 9/14+1/2=9/14+7/14=16/14 кг
Проверка:
3/14+9/14+16/14=28/14 кг,  что равно 2 кг

Answer 2

Problem Analysis

To solve this problem, we need to determine the amount of apricots and apples required to make the juice. We are given the following information: - The amount of pears is three times the amount of apricots. - The amount of pears is 500 grams less than the total amount of apples and pears. - The total amount of apples and pears is 2 kilograms.

Let's assign variables to the unknown quantities: - Let A represent the amount of apples. - Let P represent the amount of pears. - Let R represent the amount of apricots.

Solution

To find the solution, we can set up a system of equations based on the given information and solve for the variables.

1. The amount of pears is three times the amount of apricots: P = 3R

2. The amount of pears is 500 grams less than the total amount of apples and pears: P = A + P - 500

3. The total amount of apples and pears is 2 kilograms: A + P = 2000 grams

We can substitute equation 1 into equation 2 to eliminate P: 3R = A + 3R - 500 A = 500

Substituting A = 500 into equation 3: 500 + P = 2000 P = 1500

Finally, substituting P = 1500 into equation 1: 1500 = 3R R = 500

Therefore, the amount of apricots required to make the juice is 500 grams, and the amount of apples required is 500 grams.

Answer

To make the juice, you will need 500 grams of apricots and 500 grams of apples.