Question

Стоимость 1кг яблок и 1кг груш 275тг. Стоимость 3кг яблок на 50 тг меньше ,чем стоимость 4кг груш. Какова цена 1кг яблок,1 кг груш? Составьте систему уравнений и решите ее способом подстановки

Answer 1

Пусть x-1 кг яблок y- 1 кг грушX+y=2754y-50=3x=>Y=275-x4(275-x)-50=3×1100-4x-50-3x=0-7x=-1050*(-1)7x=1050X=150275-150=125Ответ: яблоки стоят 150тг,груши стоят 125тг

Answer 2

Система уравнений:

Let's denote the cost of 1 kg of apples as A and the cost of 1 kg of pears as P. We can create the following system of equations based on the given information: 1. The cost of 1 kg of apples and 1 kg of pears is 275 tenge: - A + P = 275.

2. The cost of 3 kg of apples is 50 tenge less than the cost of 4 kg of pears: - 3A = 4P - 50.

Решение методом подстановки:

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

First, we can express A in terms of P from the first equation: A = 275 - P.

Now, we can substitute this expression for A into the second equation: 3(275 - P) = 4P - 50.

Expanding and solving for P: 825 - 3P = 4P - 50, 825 + 50 = 4P + 3P, 875 = 7P, P = 125.

Substitute P = 125 back into the expression for A: A = 275 - 125, A = 150.

Ответ:

The cost of 1 kg of apples is 150 tenge, and the cost of 1 kg of pears is 125 tenge.