Question

В трех корзинах лежат 43 яблока , причем во второй корзине на 6 яблок больше чем в третьей а в первой в 2 раза больше , чем во второй . сколько яблок в каждом корзине ? решите Пожалуйста . ( составить уравнение )

Answer 1

Пусть в 3 корзине - х яблок. Тогда во 2 - (х+6) яблок, а в 1 - ( 2*(х+6) ) яблок. Зная, что всего 43 яблока, составим уравнение:
(2х + 12) +(х + 6) + х = 43.
4х +18 = 43
4х = 25
х = 6,25 - в 3 корзине
Во 2 - 12,25 яблок,
В 1 - 24,5 яблок.

Напрягает, что в корзинах не целое количество яблок, но что дано в условии, то и получили.

Answer 2

Problem Analysis

We are given three baskets containing a total of 43 apples. The second basket has 6 more apples than the third basket, and the first basket has twice as many apples as the second basket. We need to determine the number of apples in each basket.

Solution

Let's denote the number of apples in the first, second, and third baskets as x, y, and z respectively.

From the given information, we can form the following equations:

1. The total number of apples in the three baskets is 43: x + y + z = 43. 2. The second basket has 6 more apples than the third basket: y = z + 6. 3. The first basket has twice as many apples as the second basket: x = 2y.

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

Solving the Equations

Let's substitute the value of y from equation 2 into equations 1 and 3:

1. x + (z + 6) + z = 43 (substituting y = z + 6) 2. x = 2(z + 6) (substituting y = z + 6)

Simplifying equation 1: x + 2z + 6 = 43

Simplifying equation 2: x = 2z + 12

Now, let's substitute the value of x from equation 2 into equation 1:

2z + 12 + 2z + 6 + z = 43

Simplifying: 5z + 18 = 43

Subtracting 18 from both sides: 5z = 25

Dividing both sides by 5: z = 5

Now, substitute the value of z back into equation 2 to find y:

y = z + 6 = 5 + 6 = 11

Finally, substitute the values of y and z into equation 3 to find x:

x = 2y = 2 * 11 = 22

Answer

Therefore, there are 22 apples in the first basket, 11 apples in the second basket, and 5 apples in the third basket.