Question

В магазин привезли яблоки и бананы. Когда продали половину всех яблок и 5\6 ​ ​ ​ ​​ всех бананов, то яблок осталось на 66 кг больше, чем бананов. Сколько килограммов фруктов каждого вида привезли в магазин, если масса привезённых яблок превосходила массу бананов в 4 раза?

Answer 1

х кг - было бананов,   осталось (1 - 2/3)*х = 1/3 * х = х/3

3х кг - было яблок,    осталось (1-0,5)*3х = 1,5х

 

1,5х = х/3 + 70

4,5х=х+210

3,5х=210

х=60 (кг) - было бананов

60*3=180 (кг) - было яблок

Answer 2

Answer in detail. The store brought apples and bananas. When they sold half of all the apples and 5/6 of all the bananas, there were 66 kg more apples left than bananas. How many kilograms of fruit of each kind were brought to the store, if the mass of the apples brought exceeded the mass of the bananas by 4 times?

This is a problem of linear equations. Let x be the mass of bananas brought to the store, and 4x be the mass of apples brought to the store. After selling half of the apples and 5/6 of the bananas, the remaining mass of bananas is x - 5/6 x = x/6, and the remaining mass of apples is 4x - 4x/2 = 2x. According to the condition, the remaining mass of apples is 66 kg more than the remaining mass of bananas, so we can write the equation:

2x - x/6 = 66

Multiplying both sides by 6, we get:

12x - x = 396

Simplifying, we get:

11x = 396

Dividing both sides by 11, we get:

x = 36

So, the mass of bananas brought to the store is 36 kg, and the mass of apples brought to the store is 4x = 4 * 36 = 144 kg.