Question

Футболка, шорты и жакет стоят 792 руб. Футболка на 20% дешевле, чем шорты, а жакет на 20% дороже, чем шорты и футболка вместе. Сколько стоят футболка вместе с жакетом? Прошу решить

Answer 1

X-----шорты
0,8x----футболка
(x+0,8x)*1,2=2,16x----жакет

x+0,8x+2,16x=792
3,96x=792
x=792:3,96
x=200руб стоят шорты
200*0,8=160руб стоит футболка
2,16*200=432руб стоит жакет
160+432=592руб стоят футболка вместе с жакетом

Answer 2

Problem Analysis

We are given the prices of a t-shirt, shorts, and a jacket, along with their relative discounts and markups. We need to calculate the total cost of the t-shirt and jacket together.

Solution

Let's assign variables to the prices of the t-shirt, shorts, and jacket: - Let x be the price of the t-shirt. - Let y be the price of the shorts. - Let z be the price of the jacket.

From the given information, we can form the following equations: 1. The t-shirt is 20% cheaper than the shorts: x = y - 0.2y. 2. The jacket is 20% more expensive than the combined price of the t-shirt and shorts: z = (x + y) + 0.2(x + y).

To find the total cost of the t-shirt and jacket together, we need to calculate x + z.

Let's solve these equations to find the values of x, y, and z.

Solution Steps

1. Substitute the value of x from equation 1 into equation 2. 2. Simplify the equation to find the value of y. 3. Substitute the value of y into equation 1 to find the value of x. 4. Substitute the values of x and y into equation 2 to find the value of z. 5. Calculate x + z to find the total cost of the t-shirt and jacket together.

Solution

Let's solve the equations step by step:

1. Substitute the value of x from equation 1 into equation 2: - z = (x + y) + 0.2(x + y) - z = (y - 0.2y + y) + 0.2(y - 0.2y + y) - z = 2.2y - 0.2(0.6y) - z = 2.2y - 0.12y - z = 2.08y

2. Simplify the equation to find the value of y: - 792 = 2.08y - y = 792 / 2.08 - y ≈ 380.77

3. Substitute the value of y into equation 1 to find the value of x: - x = y - 0.2y - x = 380.77 - 0.2(380.77) - x = 380.77 - 76.15 - x ≈ 304.62

4. Substitute the values of x and y into equation 2 to find the value of z: - z = (x + y) + 0.2(x + y) - z = (304.62 + 380.77) + 0.2(304.62 + 380.77) - z = 685.39 + 0.2(685.39) - z = 685.39 + 137.08 - z ≈ 822.47

5. Calculate x + z to find the total cost of the t-shirt and jacket together: - x + z = 304.62 + 822.47 - x + z ≈ 1127.09

Therefore, the total cost of the t-shirt and jacket together is approximately 1127.09 rubles.

Answer

The total cost of the t-shirt and jacket together is approximately 1127.09 rubles.