Question

В первый дань в мгазине продали 1/3 овощей, а во второй день - 2/9. После этого в магазине осталось 5 целых 3/5 овощей. Сколько тонн овощей было в магазине первоначально

Answer 1

1/3+2/9=3/9+2/9=5/9 овощей продали за да дня
1-5/9=4/9  овощей осталось
5 3/5:4/9=(28*9)/(5*4)=12 3/5 тонн овощей было

Answer 2

Problem Analysis

To solve this problem, we need to determine the initial quantity of vegetables in the store. We are given that on the first day, 1/3 of the vegetables were sold, and on the second day, 2/9 of the vegetables were sold. After these two days, 5 3/5 of the vegetables remained in the store. We need to find the initial quantity of vegetables in the store.

Solution

Let's assume that the initial quantity of vegetables in the store is represented by the variable "x" (in an unknown unit, such as tons).

On the first day, 1/3 of the vegetables were sold, which means that 2/3 of the vegetables remained in the store. Therefore, the quantity of vegetables remaining after the first day is (2/3)x.

On the second day, 2/9 of the remaining vegetables were sold, which means that 7/9 of the vegetables remained in the store. Therefore, the quantity of vegetables remaining after the second day is (7/9) * (2/3)x.

According to the given information, after the two days, 5 3/5 of the vegetables remained in the store. We can represent this as a mixed fraction: 5 3/5 = 5 + 3/5 = 28/5.

Now we can set up an equation to solve for the initial quantity of vegetables:

(7/9) * (2/3)x = 28/5

To solve this equation, we can multiply both sides by the reciprocal of (7/9) * (2/3), which is (3/2) * (9/7).

((7/9) * (2/3)x) * ((3/2) * (9/7)) = (28/5) * ((3/2) * (9/7))

Simplifying the equation:

x = (28/5) * ((3/2) * (9/7)) / ((7/9) * (2/3))

x = (28/5) * (27/7) / (1/1)

x = (28 * 27) / 5

x = 756 / 5

x = 151.2

Therefore, the initial quantity of vegetables in the store was approximately 151.2 tons.

Answer

The initial quantity of vegetables in the store was approximately 151.2 tons.