Question

В прокладке было 2ц 70 кг фруктов яблоки составляли 5/9 всех фруктов а груши 1/9 всех фруктов на сколько масса яблок больше массы груш? (помогите плиз задача надо решить 2 способами

Answer 1

1. 2 ц 70 кг=270 кг
270*5/9=150 кг яблок
270*1/9=30 кг груш
150-30=120 кг
2. 5/9+1/9=6/9
270*6\9=180 кг всего
180/6=30 кг груш
180-30=150 кг яблок

Answer 2

Problem Statement

В прокладке было 2 ц 70 кг фруктов. Яблоки составляли 5/9 всех фруктов, а груши - 1/9 всех фруктов. На сколько масса яблок больше массы груш?

Solution 1: Using Fractions

To solve this problem, we can use fractions to represent the proportions of apples and pears in the total weight of fruits.

Let's start by finding the weight of apples and pears separately.

The weight of apples can be calculated as: Weight of apples = (5/9) * Total weight of fruits

The weight of pears can be calculated as: Weight of pears = (1/9) * Total weight of fruits

Now, we can substitute the given total weight of fruits into these equations and calculate the weights of apples and pears.

Let's do the calculations:

Total weight of fruits = 2 ц 70 кг = 270 кг

Weight of apples = (5/9) * 270 кг = (5/9) * 270 = 150 кг

Weight of pears = (1/9) * 270 кг = (1/9) * 270 = 30 кг

To find the difference in weight between apples and pears, we subtract the weight of pears from the weight of apples:

Difference in weight = Weight of apples - Weight of pears = 150 кг - 30 кг = 120 кг

Therefore, the weight of apples is 120 кг more than the weight of pears.

Solution 2: Using Ratios

Another way to solve this problem is by using ratios.

Let's assume the total weight of fruits is 9 units.

According to the given information, apples make up 5/9 of the total weight, and pears make up 1/9 of the total weight.

Weight of apples = (5/9) * 9 units = 5 units

Weight of pears = (1/9) * 9 units = 1 unit

To find the difference in weight between apples and pears, we subtract the weight of pears from the weight of apples:

Difference in weight = Weight of apples - Weight of pears = 5 units - 1 unit = 4 units

Since each unit represents 30 kg (270 kg divided by 9), we can multiply the difference in units by 30 kg to find the difference in weight in kilograms:

Difference in weight = 4 units * 30 kg/unit = 120 kg

Therefore, the weight of apples is 120 kg more than the weight of pears.

Both methods yield the same result: the weight of apples is 120 kg more than the weight of pears.

I hope this helps! Let me know if you have any further questions.