Question

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

Answer 1

пусть масса смеси х г, тогда масса индийского чая в ней 0.3х г

добавив 120 г масса смеси (х+120) г а масса индийского чая в ней стала 0.3х+120 или 0.45(х+120)

0.3х+120=0.45х+54

0.15х=66

х=440

масса смеси 440 г

Answer 2

Problem Analysis

We are given that a mixture of Indian and Georgian tea is made, with Indian tea initially making up 30% of the mixture. When 120 grams of Indian tea is added to the mixture, it then makes up 45% of the total mixture. We need to find the initial amount of Indian tea in the mixture.

Solution

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

When 120 grams of Indian tea is added to the mixture, the total amount of Indian tea becomes 0.3x + 120 grams. This new amount of Indian tea makes up 45% of the total mixture. Therefore, we can set up the equation:

(0.3x + 120) = 0.45x

Now, let's solve this equation to find the value of x, which represents the initial amount of the mixture.

0.3x + 120 = 0.45x

0.45x - 0.3x = 120

0.15x = 120

x = 120 / 0.15

x = 800

Therefore, the initial amount of the mixture is 800 grams.

Answer

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