Question

На две овощные базы привезли 240 тонн яблок. После того как с первой перевезли на вторую 20 тонн,на первой осталось в 4 раза больше.Сколько тонн было первоначально на каждой базе? Решение уравнением

Answer 1

Пусть х т яблок стало на второй базе,тогда на первой базе 4х т.Всего 240т. х+4х=240 5х=240 х=240/5 х=48т. стало на второй базе 48-20=28т.было на второй базе 240-28=212т. было на первой базе.

Answer 2

Problem Analysis

We are given that two vegetable bases received a total of 240 tons of apples. After transferring 20 tons from the first base to the second base, the first base had four times as many tons of apples as the second base. We need to determine the initial number of tons of apples on each base.

Solution

Let's assume that the initial number of tons of apples on the first base is x and on the second base is y.

According to the problem, the following conditions are given: 1. The total weight of apples is 240 tons: x + y = 240. 2. After transferring 20 tons from the first base to the second base, the first base had four times as many tons of apples as the second base: (x - 20) = 4(y + 20).

We can solve this system of equations to find the values of x and y.

Solving the System of Equations

Let's solve the system of equations using the substitution method.

From equation 1, we have x = 240 - y.

Substituting this value of x into equation 2, we get: (240 - y - 20) = 4(y + 20).

Simplifying the equation: 220 - y = 4y + 80.

Bringing all the terms involving y to one side: 5y = 140.

Dividing both sides by 5, we get: y = 28.

Substituting this value of y into equation 1, we get: x = 240 - 28 = 212.

Answer

The initial number of tons of apples on the first base was 212 tons, and on the second base was 28 tons.

Verification

Let's verify the solution by checking if it satisfies the given conditions.

1. The total weight of apples is 240 tons: 212 + 28 = 240. This condition is satisfied. 2. After transferring 20 tons from the first base to the second base, the first base had four times as many tons of apples as the second base: (212 - 20) = 4(28 + 20). Simplifying, we get 192 = 4(48), which is true. This condition is also satisfied.

Therefore, the solution is correct.

Conclusion

The initial number of tons of apples on the first base was 212 tons, and on the second base was 28 tons.