Question

помидоры раскладывали в одинаковые ящики . в 7 ящиках вмещается на 32 кг больше , чем в 3 ящиках. на складе есть 120 пустых ящиков. хватит ли этих ящиков , чтобы разложить 872 кг помидоров?

Answer 1

7-3=4(ящика) 32/4=8(кг)-вмещается в 1ящик 8*120=960(кг)-вмещается в 120 ящиков 960>872 ответ: не хватит

Answer 2

7-3=4(ящ.)   32:4=8(кг)-в одном ящике     872:8=109(ящ)-потребуется

Answer 3

Calculation of Tomato Boxes

To determine if there are enough empty boxes to pack 872 kg of tomatoes, we need to calculate how many boxes are required for this weight.

According to the information provided, tomatoes can be packed in 7 boxes and hold 32 kg more than in 3 boxes.

Let's denote the weight of tomatoes that can be packed in 3 boxes as x kg.

Therefore, the weight of tomatoes that can be packed in 7 boxes is x + 32 kg.

We can set up the following equation to solve for x:

7(x + 32) = 3x

Simplifying the equation:

7x + 224 = 3x

4x = 224

x = 56

So, the weight of tomatoes that can be packed in 3 boxes is 56 kg, and the weight that can be packed in 7 boxes is 56 + 32 = 88 kg.

Calculation of Empty Boxes

Now, let's calculate the number of empty boxes required to pack 872 kg of tomatoes.

If 3 boxes can hold 56 kg of tomatoes, then the number of boxes required to hold 872 kg can be calculated as:

Number of boxes = 872 kg / 56 kg

Number of boxes = 15.57

Since we cannot have a fraction of a box, we need to round up to the nearest whole number. Therefore, we would need 16 boxes to pack 872 kg of tomatoes.

Availability of Empty Boxes

According to the information provided, there are 120 empty boxes available on the warehouse.

Since we need only 16 boxes to pack 872 kg of tomatoes, we can conclude that there are enough empty boxes available to pack the tomatoes.

Therefore, the 120 empty boxes on the warehouse would be sufficient to pack 872 kg of tomatoes.