Question

смешали индийский и грузинский чай.Индийский чай составил 30% всей смеси.Если в эту смесь добавить еще 120 г индийского чая ,то он будет составлять 45% смеси.Сколько граммов индийского чая было в смеси первоначально?

Answer 1

120 +х/0,3 = (х+120/)0.45 
54 + 1,5х = х + 120 
0,5х = 66 
х = 132 грамма 
Проверим: 
Если 132 г - это 30%, то всей смеси было 132/0.3 = 440 г 
Добавим 120 г индийского чая. Масса смеси станет 560 г, а индийского чая стане 252 
252*100/560 = 45% 
Задача решена правильно 

Можно решить систему двух уравнений, где х - количество индийского, а у - грузинского чая: 

X/(X+Y)=0.3 
(X+120)/(X+Y+120)=0.45 

Результат будет тот же

Answer 2

Problem Analysis

We are given a mixture of Indian and Georgian tea, where the Indian tea initially makes up 30% of the mixture. If we add an additional 120 grams of Indian tea to the mixture, the Indian tea will then make up 45% of the mixture. We need to determine the initial amount of Indian tea in the mixture.

Solution

Let's assume the initial amount of the mixture is x grams. Since the Indian tea initially makes up 30% of the mixture, the amount of Indian tea in the mixture is 0.3x grams.

When we add an additional 120 grams of Indian tea, the total amount of Indian tea becomes 0.3x + 120 grams. This new amount of Indian tea makes up 45% of the mixture.

We can set up the following equation to solve for x:

0.3x + 120 = 0.45x

Now, let's solve this equation to find the value of x.

Calculation

0.3x + 120 = 0.45x

Subtract 0.3x from both sides:

120 = 0.15x

Divide both sides by 0.15:

x = 120 / 0.15

x = 800

Answer

The initial amount of Indian tea in the mixture was 800 grams.

Explanation

To solve this problem, we used the given information that the Indian tea initially made up 30% of the mixture and that adding 120 grams of Indian tea increased its proportion to 45%. By setting up and solving an equation, we determined that the initial amount of Indian tea in the mixture was 800 grams.