Question

А) На пркупку товаров потратили 600 тенге, это составило 2/3 от первоночальной суммы денег. Найди первоночальную сумму. б) Составь и реши обратную задачу.​

Answer 1

Ответ:

Пошаговое объяснение:
А) 600 : 2/3 = 600 * 3/2 = 1800/2 = 900 (тг) - первоначальная сумма

Б)
На покупку товаров потратили 600 тг. 2/3 этих денег было потрачено на одежду. Сколько тг было потрачено на одежду?

600 * 2/3 = 1200/3 = 400 (тг) - потрачено на одежду

Answer 2

Problem Analysis

We are given that the amount spent on purchasing goods is 600 tenge, which is 2/3 of the initial amount of money. We need to find the initial amount of money.

Solution

Let's assume the initial amount of money is represented by the variable x.

According to the problem, the amount spent on purchasing goods is 2/3 of the initial amount of money. Mathematically, we can represent this as:

2/3 * x = 600

To find the initial amount of money, we need to solve this equation for x.

Solving the Equation

To solve the equation, we can multiply both sides by the reciprocal of 2/3, which is 3/2:

(2/3 * x) * (3/2) = 600 * (3/2)

Simplifying the equation:

x = (600 * 3) / 2

Evaluating the expression on the right-hand side:

x = 1800 / 2

x = 900

Therefore, the initial amount of money is 900 tenge.

Reverse Problem

To solve the reverse problem, we need to find the amount spent on purchasing goods if the initial amount of money is known.

Let's assume the initial amount of money is represented by the variable x.

According to the problem, the amount spent on purchasing goods is 2/3 of the initial amount of money. Mathematically, we can represent this as:

(2/3) * x = ?

To find the amount spent on purchasing goods, we need to solve this equation for ?.

Solving the Equation

To solve the equation, we can multiply both sides by x:

((2/3) * x) * x = ? * x

Simplifying the equation:

(2/3) * x^2 = ? * x

To find the value of ?, we need to know the value of x.

For example, if the initial amount of money is 900 tenge, we can substitute x = 900 into the equation:

(2/3) * (900)^2 = ? * 900

Simplifying the equation:

? = (2/3) * (900)^2 / 900

Evaluating the expression on the right-hand side:

? = (2/3) * 810000 / 900

? = 540000 / 900

? = 600

Therefore, if the initial amount of money is 900 tenge, the amount spent on purchasing goods would be 600 tenge.