Question

Макароны упаковали в одинаковые коробки. Масса 17 кор - 32 кг больше,чем масса таких же 9 коробок.Хватит ли 214 кор для упаковки 970 кг макарон?

Answer 1

В восемь коробок помещается 32 - 17 = 15 кг макарон . 
214 = 8 · 17 
15 · 17 < 970 
Ответ : не хватит

Answer 2

1) 17 - 9 = 8 (коробок) - разница
2) 32 : 8 = 4 (кг) - в одной коробке
3) 4 * 214 = 856 (кг) 

856 < 970
Нет, не хватит

Answer 3

Problem Analysis

We are given that the pasta is packed in identical boxes. The total mass of 17 boxes is 32 kg more than the mass of 9 identical boxes. We need to determine if 214 boxes will be enough to pack 970 kg of pasta.

Solution

Let's break down the problem step by step:

1. Find the mass of 17 boxes: Since the mass of 17 boxes is 32 kg more than the mass of 9 boxes, we can set up the equation: 17 boxes mass = 9 boxes mass + 32 kg Let's denote the mass of one box as 'x'. Therefore, the equation becomes: 17x = 9x + 32 kg

2. Solve the equation to find the mass of one box: Subtracting 9x from both sides of the equation, we get: 8x = 32 kg Dividing both sides of the equation by 8, we find: x = 4 kg Therefore, the mass of one box is 4 kg.

3. Calculate the total mass of 214 boxes: Since each box has a mass of 4 kg, the total mass of 214 boxes can be calculated as: Total mass = 214 boxes * 4 kg/box

4. Determine if 214 boxes are enough to pack 970 kg of pasta: We need to compare the total mass of 214 boxes with 970 kg. If the total mass is greater than or equal to 970 kg, then 214 boxes will be enough. Otherwise, they will not be enough.

Let's calculate the total mass of 214 boxes and compare it with 970 kg.

Calculation

1. Mass of 17 boxes: 17 boxes mass = 17 * 4 kg/box = 68 kg

2. Mass of 214 boxes: 214 boxes mass = 214 * 4 kg/box = 856 kg

3. Comparison: Is 856 kg greater than or equal to 970 kg? No, 856 kg is less than 970 kg.

Conclusion

Based on the calculations, 214 boxes will not be enough to pack 970 kg of pasta.