Question

в столовую привезли фрукты: яблоки, груши, апельсины и мандарины. яблок было 64 кг, груш 36 кг, а апельсинов в 3 раза больше чем мандаринов. когда половину всех фруктов израсходовали, осталось еще 114 кг. сколько килограммов апельсинов привезли в столовую?

Answer 1

114*2=228(кг)-всего фруктов
228-(36+64)=128(кг)-апельсинов и мандаринов
128:4=32(кг)-мандарин
128-32=96(кг)-апельсинов
Ответ:96 килограмм

Answer 2

Problem Analysis

To solve this problem, we need to determine the weight of oranges brought to the cafeteria. We are given the weights of apples, pears, and mandarins, as well as the total weight of all the fruits after half of them were consumed.

Let's break down the information provided:

- Weight of apples: 64 kg - Weight of pears: 36 kg - Oranges are three times more than mandarins. - After consuming half of all the fruits, there were 114 kg left.

We need to find the weight of oranges.

Solution

Let's assume the weight of mandarins is "x" kg. Since the weight of oranges is three times more than mandarins, the weight of oranges would be "3x" kg.

To find the weight of oranges, we can set up an equation using the given information:

Weight of apples + Weight of pears + Weight of oranges + Weight of mandarins = Total weight of fruits

64 kg + 36 kg + 3x kg + x kg = Total weight of fruits

We also know that after consuming half of all the fruits, there were 114 kg left. So, we can set up another equation:

Total weight of fruits - 114 kg = Weight of fruits consumed

Using these two equations, we can solve for the weight of oranges.

Let's proceed with the calculations.

Calculation

1. Set up the equation for the total weight of fruits:

64 kg + 36 kg + 3x kg + x kg = Total weight of fruits

2. Set up the equation for the weight of fruits consumed:

Total weight of fruits - 114 kg = Weight of fruits consumed

3. Substitute the value of the weight of fruits consumed into the equation for the total weight of fruits:

(64 kg + 36 kg + 3x kg + x kg) - 114 kg = Weight of fruits consumed

4. Simplify the equation:

100 kg + 4x kg - 114 kg = Weight of fruits consumed

5. Combine like terms:

4x - 14 kg = Weight of fruits consumed

6. Solve for the weight of fruits consumed:

4x - 14 kg = 114 kg

4x = 114 kg + 14 kg

4x = 128 kg

x = 128 kg / 4

x = 32 kg

Now that we have the weight of mandarins (x = 32 kg), we can find the weight of oranges:

Weight of oranges = 3x kg = 3 * 32 kg = 96 kg

Answer

Therefore, the cafeteria brought 96 kg of oranges.

Please let me know if you need any further assistance!