Question

На двох баржах було 18600 кавунів.коли з першоі баржі вивантажили 2600 кавунів,на обох баржах кавунів стало порівну.скільки кавунів було на кожній баржі спочатку?

Answer 1

1)18600-2600=16000 арбузов осталось на двух баржах                                      2)16000:2=8000 арбузов стало на каждой барже                                               3)8000+2600=10600 арбузов было на первой барже                                    4)18600-10600=8000 арбузов было на второй барже            

Answer 2

Problem Analysis

To solve this problem, we can use algebraic equations to represent the given information and solve for the initial number of watermelons on each barge.

Let's denote: - x as the initial number of watermelons on the first barge - y as the initial number of watermelons on the second barge

We are given the following information: 1. There were 18600 watermelons in total on both barges initially. 2. After unloading 2600 watermelons from the first barge, the number of watermelons on both barges became equal.

Solution

We can set up the following equations based on the given information: 1. x + y = 18600 (total number of watermelons on both barges initially) 2. (x - 2600) = (y + 2600) (after unloading 2600 watermelons from the first barge, the number of watermelons on both barges became equal)

Now, let's solve these equations to find the initial number of watermelons on each barge.

Solving the Equations

From equation 2, we can express x in terms of y: x = y + 5200

Substitute the value of x from equation 2 into equation 1: (y + 5200) + y = 18600 2y + 5200 = 18600 2y = 18600 - 5200 2y = 13400 y = 6700

Now, substitute the value of y back into the expression for x: x = 6700 + 5200 x = 11900

Answer

So, the initial number of watermelons on each barge was: - 11900 watermelons on the first barge - 6700 watermelons on the second barge