Question

В детский сад привезли 10 ящиков яблок,по 9 кг в каждом, и 8 одинаковых по массе ящиков слив. Всего привезли 170 кг фрукт. Сколько килограммов слив было в одном ящике?Составь и реши задачу, обратную данной.

Answer 1

1) 10 * 9 = 90 кг привезли яблок в д/с
2) 170 - 90 = 80 кг слив привезли в д/с
3) 80 : 8 = 10 кг/ящ было в 1 ящике слив

обратная задача:

В детский сад привезли 90 кг яблок по 9 кг в каждом ящике, и 80 кг слив по 10 кг в каждом ящике. Сколько ящиков яблок и сколько ящиков слив привезли в детский сад?

1) 90 : 9 = 10 ящиков привезли с яблоками
2) 80 : 10 = 8 ящиков привезли со сливами

Answer 2

10 * 9 = 90 (кг) яблок всего
170 - 90 = 80 (кг) слив всего
80 : 8 = 10 (кг) в 1 ящике

Answer 3

Problem Analysis

To solve this problem, we need to determine the weight of plums (сливы) in one box. We are given that 10 boxes of apples, each weighing 9 kg, and 8 identical boxes of plums were brought to the kindergarten, with a total weight of 170 kg. We need to find the weight of plums in one box.

Solution

Let's assume the weight of plums in one box is x kg.

The total weight of the apples is 10 boxes * 9 kg/box = 90 kg.

The total weight of the plums is 8 boxes * x kg/box = 8x kg.

The total weight of both fruits is 90 kg + 8x kg = 170 kg.

We can set up the equation: 90 + 8x = 170.

To find the weight of plums in one box, we can solve this equation for x.

Solving the Equation

Let's solve the equation step by step:

90 + 8x = 170

Subtract 90 from both sides:

8x = 170 - 90

8x = 80

Divide both sides by 8:

x = 80 / 8

x = 10

Therefore, the weight of plums in one box is 10 kg.

Reverse Problem

The reverse problem would involve finding the number of boxes of apples and plums if we know the total weight of each fruit and the weight of plums in one box.

Let's assume the weight of plums in one box is y kg.

The total weight of the apples is 90 kg.

The total weight of the plums is 8y kg.

The total weight of both fruits is 90 kg + 8y kg.

If we know the total weight of both fruits, we can subtract the weight of the apples to find the weight of the plums:

Total weight of plums = Total weight of both fruits - Total weight of apples

8y = (90 kg + 8y kg) - 90 kg

Simplifying the equation:

8y = 8y

This equation is an identity, which means that for any value of y, the equation will be true.

Therefore, we cannot determine the number of boxes of apples and plums based on the total weight of each fruit and the weight of plums in one box alone. We would need additional information to solve the reverse problem.

Please let me know if there's anything else I can help you with!