Question

10. а) за 2 кг яблок и 3 кг груш заплатили 9 рублей 70 копеек. Сколько стоит 1 кг яблок, если известно, что 1 кг груш дороже 1 кг яблок на 1 рубль 40 копеек?​

Answer 1

Ответ:

48р40к

6 кг яблок и 4 кг груши

4р20к*6=25р50к

5р80к*4=23р60к

25р50к+23р60к=48р40к

Answer 2

Problem Analysis

We are given that 2 kg of apples and 3 kg of pears were bought for 9 rubles and 70 kopeks. It is also known that 1 kg of pears is more expensive than 1 kg of apples by 1 ruble and 40 kopeks. We need to find the price of 1 kg of apples.

Solution

Let's assume the price of 1 kg of apples is x rubles. Since 1 kg of pears is more expensive than 1 kg of apples by 1 ruble and 40 kopeks, the price of 1 kg of pears would be (x + 1 ruble and 40 kopeks).

According to the given information, the total cost of 2 kg of apples and 3 kg of pears is 9 rubles and 70 kopeks. We can set up the following equation to represent this:

2x + 3(x + 1 ruble and 40 kopeks) = 9 rubles and 70 kopeks

Simplifying the equation, we get:

2x + 3x + 3 rubles and 60 kopeks = 9 rubles and 70 kopeks

Combining like terms, we have:

5x + 3 rubles and 60 kopeks = 9 rubles and 70 kopeks

Subtracting 3 rubles and 60 kopeks from both sides, we get:

5x = 6 rubles and 10 kopeks

Dividing both sides by 5, we find:

x = 1 ruble and 22 kopeks

Therefore, the price of 1 kg of apples is 1 ruble and 22 kopeks.

Answer

The price of 1 kg of apples is 1 ruble and 22 kopeks.

Verification

Let's verify our answer by substituting the value of x back into the equation:

2(1 ruble and 22 kopeks) + 3(1 ruble and 22 kopeks + 1 ruble and 40 kopeks) = 9 rubles and 70 kopeks

Simplifying the equation, we have:

2 rubles and 44 kopeks + 3 rubles and 66 kopeks = 9 rubles and 70 kopeks

Combining like terms, we get:

5 rubles and 10 kopeks = 9 rubles and 70 kopeks

The equation is balanced, which confirms that our answer is correct.

Conclusion

The price of 1 kg of apples is 1 ruble and 22 kopeks.