Question

В магазин привезли яблоки и бананы. Когда продали половину всех яблок и 2/3 всех бананов, то яблок осталось на 70кг.больше, чем бананов.Сколько кг. фруктов каждого вида привезли в магазин , если масса привезённых яблок превосходила массу бананов в 3 раза?

Answer 1

X кг. - было бананов, осталось (1-2/3)*x=1/3*x=x/3
3x кг. - было яблок, осталось (1-0,5)*3x=1,5x
1,5x=x/3+70
1,5x=x+210/3
4,5x=x+210
4,5x-x=210
3,5x=210
x=210/3,5
x=60 кг. - банан
1) 60*3=180 кг. - яблок

Answer 2

Problem Analysis

To solve this problem, we need to determine the weight of apples and bananas that were brought to the store. We are given that when half of the apples and two-thirds of the bananas were sold, there were 70 kg more apples than bananas left. Additionally, the weight of the apples exceeded the weight of the bananas by a factor of 3.

Solution

Let's assume the weight of the bananas is x kg. According to the given information, the weight of the apples is 3 times the weight of the bananas, which means the weight of the apples is 3x kg.

When half of the apples were sold, there were 70 kg more apples than bananas left. This can be expressed as:

(3x / 2) - x = 70

Simplifying the equation:

(3x - 2x) / 2 = 70

x / 2 = 70

Solving for x:

x = 140

Therefore, the weight of the bananas is 140 kg. Since the weight of the apples is 3 times the weight of the bananas, the weight of the apples is:

3x = 3 * 140 = 420 kg

So, 420 kg of apples and 140 kg of bananas were brought to the store.

Answer

The store brought 420 kg of apples and 140 kg of bananas.