Question

Решите задачу.В корзине 19,55 кг груш и яблок . Яблок в 1,3 раза больше, чем груш. Найдите массу груш, находящихся в корзине

Answer 1

Пусть груши х, тогда яблоки х*1,3
х+х*1,3=19,55
х(1+1,3)=19,55
х*2,3=19,55
х=19,55/2,3
х=8,5 кг груш

Answer 2

Task Solution:

To solve the problem, we can set up a system of equations based on the given information and then solve for the mass of the pears in the basket.

Let's denote: - x as the mass of pears in kilograms, - y as the mass of apples in kilograms.

We are given that the total mass of pears and apples is 19.55 kg, and the mass of apples is 1.3 times greater than the mass of pears. This can be represented by the following equations:

1. x + y = 19.55 (total mass equation) 2. y = 1.3x (relation between the mass of apples and pears)

Now, we can solve this system of equations to find the mass of pears in the basket.

Solution Steps:

1. Substitute the value of y from equation 2 into equation 1. 2. Solve for x.

Let's proceed with the calculation.

Calculation:

Substitute y = 1.3x into x + y = 19.55: x + 1.3x = 19.55 2.3x = 19.55 x = 19.55 / 2.3 x ≈ 8.4783

Answer:

The mass of pears in the basket is approximately 8.4783 kilograms.