Question

В саду росли яблоки и груши. Если сорвать 59% всех яблок и 25% всех груш, то и тех и других окажется поровну. Сколько яблок и груш в саду, если их всего 360 штук.

Answer 1

х-яблок

у-груш

х+у=360

х=360-у

 

х-0,59х=у-0,25у

0,41х=0,75у

0,41(360-у)=0,75у

0,41у+0,75у=147,6

1,16у=147,6

у=127(груш)

360-127=233(яблока)

 

Answer 2

Problem Analysis

We are given that there are apples and pears growing in a garden. If we pick 59% of all the apples and 25% of all the pears, then the number of apples and pears remaining will be equal. We need to determine the total number of apples and pears in the garden, given that there are a total of 360 fruits.

Solution

Let's assume the number of apples in the garden is A and the number of pears is P.

According to the given information, if we pick 59% of all the apples, we will have 41% of the apples remaining. Similarly, if we pick 25% of all the pears, we will have 75% of the pears remaining.

From the problem statement, we can form the following equations:

Equation 1: 41% of A = 75% of P Equation 2: A + P = 360

Let's solve these equations to find the values of A and P.

Solving the Equations

To solve the equations, we can use substitution or elimination method. Let's use the substitution method.

From Equation 1, we can rewrite it as: 0.41A = 0.75P

Simplifying Equation 1, we get: A = (0.75/0.41)P

Substituting this value of A in Equation 2, we get: (0.75/0.41)P + P = 360

Simplifying the equation further, we get: (0.75 + 0.41)P = 360 1.16P = 360

Dividing both sides of the equation by 1.16, we get: P = 360 / 1.16

Calculating the value of P, we find: P ≈ 310.34

Since the number of fruits cannot be in decimal, we can round the value of P to the nearest whole number: P ≈ 310

Substituting this value of P in Equation 2, we get: A + 310 = 360

Simplifying the equation, we find: A = 360 - 310 A = 50

Answer

Therefore, there are approximately 50 apples and 310 pears in the garden, given that there are a total of 360 fruits.