Question

помогите решить заачу (под действиями)купили 18 мандаринов и апельсинов.мандаринов на 4 штуки больше, чем апельсинов. один мандарин на 2 руб. дешевле, чем апельсин. всего заплатили 500 руб. сколько стоит 1 мандарин и 1 апельсин?

Answer 1

Решение
1) 18-4=14 мандаринов и апельсинов поровну
2)14/2=7 апельсинов и мандаринов по отдельности
3)7+4=11 мандаринов
4) 11*2=на  22 рубля мандарины дешевле апельсинов
5) 500-22=478 рублей
6) 478/2=239 рублей стоимость мандаринов
7) 239+22=261 рубль стоимость апельсинов
8) 239/11=21,72руб стоит один мандарин
9) 261/7=37,28,, руб стоит один апельсин
Ответ: 21,72руб стоит один мандарин.37,28,, руб стоит один апельсин

Answer 2

Problem Analysis

To solve this problem, we need to find the individual prices of a mandarin and an orange. We are given the following information: - 18 mandarins and oranges were bought. - There were 4 more mandarins than oranges. - The price of one mandarin is 2 rubles cheaper than the price of one orange. - The total cost was 500 rubles.

Solution

Let's denote: - x as the price of one mandarin in rubles. - y as the price of one orange in rubles.

We can set up the following system of equations based on the given information: 1. x - y = -2 (The price of one mandarin is 2 rubles cheaper than the price of one orange) 2. 18 = 4 + 14 (There were 4 more mandarins than oranges) 3. 18x + 18y = 500 (The total cost was 500 rubles)

We can solve this system of equations to find the values of x and y.

Solving the Equations

Let's start by solving equation 1 for x: x = y - 2

Now, we can substitute this value of x into equation 3: 18(y - 2) + 18y = 500 18y - 36 + 18y = 500 36y = 536 y = 14.89 (rounded to 2 decimal places)

Substitute the value of y back into the equation x = y - 2 to find x: x = 14.89 - 2 x = 12.89 (rounded to 2 decimal places)

Answer

So, the price of 1 mandarin is 12.89 rubles and the price of 1 orange is 14.89 rubles.