Question

Купили два арбуза. Масса первого арбуза была больше массы второго на 1,8 кг, а масса второго арбуза в 1,4 раза меньше массы первого. Цена 1 кг арбуза 0,3 р. Сколько стоит каждый арбуз?Уравнением!!Срочно!Заранее спасибо

Answer 1

Problem Analysis

To solve this problem, we need to find the individual prices of the two watermelons. We are given the following information: - The mass of the first watermelon is 1.8 kg more than the mass of the second watermelon. - The mass of the second watermelon is 1.4 times smaller than the mass of the first watermelon. - The price of 1 kg of watermelon is 0.3 roubles.

Let's break down the problem and solve it step by step.

Step 1: Define Variables

Let's define the variables: - Let x be the mass of the second watermelon in kg. - The mass of the first watermelon is 1.8 kg more than the mass of the second watermelon, so the mass of the first watermelon is x + 1.8 kg.

Step 2: Calculate the Prices

To calculate the prices of the watermelons, we need to multiply their masses by the price per kilogram.

The price of the first watermelon is (x + 1.8) * 0.3 roubles.

The price of the second watermelon is x * 0.3 roubles.

Step 3: Solve the Equation

We can set up an equation using the given information and solve for x.

The equation is: (x + 1.8) * 0.3 = x * 0.3 * 1.4

Simplifying the equation: 0.3x + 0.54 = 0.42x

Rearranging the equation: 0.42x - 0.3x = 0.54

Simplifying further: 0.12x = 0.54

Solving for x: x = 0.54 / 0.12

Calculating the value of x: x = 4.5

Step 4: Calculate the Prices

Now that we have the value of x, we can calculate the prices of the watermelons.

The price of the first watermelon is (x + 1.8) * 0.3 = (4.5 + 1.8) * 0.3 = 6.3 * 0.3 = 1.89 roubles.

The price of the second watermelon is x * 0.3 = 4.5 * 0.3 = 1.35 roubles.

Answer

Therefore, the first watermelon costs 1.89 roubles and the second watermelon costs 1.35 roubles.

Please let me know if I can help you with anything else.