Question

4)Решить задачу: В саду яблонь было в 3 раза больше, чем груш. После того, как 14 яблонь вырубили и посадили 10 груш, деревьев обоих видов в саду стало поровну. Сколько яблонь и сколько груш было в саду первоначально?

Answer 1

Х - было груш

3х - было яблонь

3х-14=10+х  задача на уравнения

3х-х=10+24

2х=24

х=24/2

х=12

12 было груш

12*3=36 - было яблонь

Answer 2

#### Problem Analysis We are given that there were three times as many apple trees as pear trees in a garden. After 14 apple trees were cut down and 10 pear trees were planted, the number of trees of both types became equal. We need to determine the initial number of apple trees and pear trees in the garden. #### Solution Let's assume the initial number of pear trees in the garden is **x**. Since there were three times as many apple trees as pear trees, the initial number of apple trees would be **3x**. After 14 apple trees were cut down, the number of apple trees becomes **3x - 14**. After 10 pear trees were planted, the number of pear trees becomes **x + 10**. According to the problem, the number of apple trees and pear trees became equal. Therefore, we can set up the following equation: **3x - 14 = x + 10** Now, let's solve this equation to find the value of **x**. **3x - 14 = x + 10** Subtract **x** from both sides: **2x - 14 = 10** Add **14** to both sides: **2x = 24** Divide both sides by **2**: **x = 12** So, the initial number of pear trees in the garden was **12**. Since there were three times as many apple trees, the initial number of apple trees was **3 * 12 = 36**. Therefore, there were initially **36 apple trees** and **12 pear trees** in the garden. #### Answer The initial number of apple trees in the garden was **36**, and the initial number of pear trees was **12**.