Question

Решить задачу.Из яблок,груш и абрикосов изготовили сок.Груш в три раза больше,чем абрикосов,и на 500 грамм меньше,чем яблок .Всего понадобилось 2 кг.яблок и груш.Сколько килограммов абрикосов и сколько килограммов яблок понадобилось для изготовления сока?

Answer 1

Пусть груш х
яблок х+0,5
всего груш  и яблок х+х+0,5=2
2х=1,5
х= 0,75
 груш 750 гр
абрикос 750/3= 250 гр

Answer 2

Problem Analysis

We are given that a juice is made from apples, pears, and apricots. The quantity of pears is three times greater than the quantity of apricots and 500 grams less than the quantity of apples. The total quantity of apples and pears used is 2 kg. We need to determine the quantity of apricots and apples used to make the juice.

Solution

Let's assume the quantity of apricots used is A kg, the quantity of pears used is P kg, and the quantity of apples used is A kg.

From the given information, we can form the following equations: 1. The quantity of pears is three times greater than the quantity of apricots: P = 3A. 2. The quantity of pears is 500 grams less than the quantity of apples: P = A + 0.5. 3. The total quantity of apples and pears used is 2 kg: A + P = 2.

We can solve these equations to find the values of A and P.

Substituting equation 1 into equation 2, we get: 3A = A + 0.5.

Simplifying the equation, we find: 2A = 0.5.

Dividing both sides by 2, we get: A = 0.25.

Substituting the value of A into equation 1, we find: P = 3(0.25) = 0.75.

Finally, substituting the values of A and P into equation 3, we find: 0.25 + 0.75 = 2.

Therefore, the quantity of apricots used is **0.25