Question

продавец продал одному покупателю 10 яблок,5 груш, и 3 лимона, на 1 рубль 10 копеек, второму покупателю по той же цене он продал 10 яблок, 3 груши и 1 лимон за 78 копеек,а третьему-2 груши и 1 лимон зак 22 копейки. сколько стоят отдельно яблоко, груша и лимон?

Answer 1

10X + 5Y + 3Z = 1.1
10X + 3Y + Z = 0.78
2Y + Z = 0.22 --> Z = 0.22 - 2Y
2Y + 2Z = 0.32 ---> 2Y + 0.44 - 4Y = 0.32 ---> 2Y = 0.12 --> Y = 0.06
Z = 0.22 - 0.12 = 0.1 
10X + 0.18 + 0.1 = 0.78 --> 10X = 0.5 ---> X = 0.05
ответ: 1 яблоко стоит 5 копеек, 1 груша стоит 6 копеек, 1 лимон стоит 10 копеек

Answer 2

Calculation of the Cost of Each Fruit

To calculate the cost of each fruit separately, we need to analyze the information provided. The seller sold a total of 10 apples, 5 pears, and 3 lemons to the first buyer for 1 ruble and 10 kopeks. The second buyer purchased 10 apples, 3 pears, and 1 lemon for 78 kopeks. Finally, the third buyer bought 2 pears and 1 lemon for 22 kopeks.

Let's calculate the cost of each fruit separately:

1. Calculation for Apples: - The first buyer purchased 10 apples for 1 ruble and 10 kopeks. - The second buyer purchased 10 apples for 78 kopeks. - Therefore, the cost of each apple can be calculated by finding the average price per apple based on the total cost and the total number of apples sold.

Calculation: - Total cost of apples = 1 ruble and 10 kopeks + 78 kopeks = 1 ruble and 88 kopeks. - Total number of apples sold = 10 + 10 = 20 apples. - Cost per apple = Total cost of apples / Total number of apples sold.

The cost of each apple is 1 ruble and 88 kopeks / 20 apples = 9 kopeks per apple.

2. Calculation for Pears: - The first buyer purchased 5 pears for 1 ruble and 10 kopeks. - The second buyer purchased 3 pears for 78 kopeks. - The third buyer purchased 2 pears for 22 kopeks. - Therefore, the cost of each pear can be calculated by finding the average price per pear based on the total cost and the total number of pears sold.

Calculation: - Total cost of pears = 1 ruble and 10 kopeks + 78 kopeks + 22 kopeks = 1 ruble and 110 kopeks. - Total number of pears sold = 5 + 3 + 2 = 10 pears. - Cost per pear = Total cost of pears / Total number of pears sold.

The cost of each pear is 1 ruble and 110 kopeks / 10 pears = 11 kopeks per pear.

3. Calculation for Lemons: - The first buyer purchased 3 lemons for 1 ruble and 10 kopeks. - The second buyer purchased 1 lemon for 78 kopeks. - The third buyer purchased 1 lemon for 22 kopeks. - Therefore, the cost of each lemon can be calculated by finding the average price per lemon based on the total cost and the total number of lemons sold.

Calculation: - Total cost of lemons = 1 ruble and 10 kopeks + 78 kopeks + 22 kopeks = 1 ruble and 110 kopeks. - Total number of lemons sold = 3 + 1 + 1 = 5 lemons. - Cost per lemon = Total cost of lemons / Total number of lemons sold.

The cost of each lemon is 1 ruble and 110 kopeks / 5 lemons = 22 kopeks per lemon.

Therefore, the cost of each fruit separately is as follows: - Apples: 9 kopeks per apple - Pears: 11 kopeks per pear - Lemons: 22 kopeks per lemon

Please note that the calculations are based on the information provided and assume that the prices remain constant for each fruit throughout the transactions.