Question

За 1 кг мяса и 5 кг винограда заплатили 675₽. Сколько стоит килограмм винограда, если он дешевле 1кг мяса на 225₽? БЕЗ ИКСА НО С ОБЪЯСНЕНИЕМ (должно получиться 75₽)

Answer 1

Ответ:

1 + 5 = 6 (кг) - это всего купили

(675 - 225) : 6 = 75 (рублей) - если бы и мясо и виноград стоили одинаково, а так же это цена винограда.

Answer 2

Calculating the Cost of Grapes

To solve this problem, we can use a system of equations to represent the given information and then solve for the cost of grapes per kilogram.

Let's denote the cost of 1 kg of meat as m and the cost of 1 kg of grapes as g.

We are given the following information: 1. 1 kg of meat and 5 kg of grapes cost 675₽. 2. Grapes are cheaper than 1 kg of meat by 225₽.

Setting Up the Equations

We can set up the following system of equations based on the given information:

1. Equation 1: 1m + 5g = 675₽ (1 kg of meat and 5 kg of grapes cost 675₽) 2. Equation 2: m - g = 225₽ (Grapes are cheaper than 1 kg of meat by 225₽)

Solving the System of Equations

We can solve this system of equations to find the cost of 1 kg of grapes.

First, let's solve Equation 2 for m: m = g + 225₽

Now, we can substitute this expression for m into Equation 1: 1(g + 225₽) + 5g = 675₽ g + 225₽ + 5g = 675₽ 6g + 225₽ = 675₽ 6g = 450₽ g = 75₽

Conclusion

Therefore, the cost of 1 kg of grapes is 75₽, as expected.