Question

Картина с рамой стоит 13200 рублей причём картина в 10 раз дороже рамы.Сколько стоит картина и сколько стоит рама? Стакан с подстаканником стоит 280 рублей причём стакан в 6 раз дешевле подстаканника.Сколько стоит стакан и сколько стоит подстаканник?

Answer 1

13200 / 11 = 1200 (рама)
1200*10 = 12000 (картина) 

280 / 7 = 40 (подстаканник)
40*6 = 240 (стакан)

Answer 2

Calculation of the Price of the Painting and Frame

To determine the price of the painting and the frame, we can set up a system of equations based on the given information.

Let's assume the price of the frame is x rubles. According to the given information, the painting is 10 times more expensive than the frame. Therefore, the price of the painting can be represented as 10x rubles.

The total price of the painting with the frame is given as 13,200 rubles. So, we can set up the following equation:

x + 10x = 13,200

Simplifying the equation, we get:

11x = 13,200

Solving for x, we divide both sides of the equation by 11:

x = 13,200 / 11 = 1,200

Therefore, the price of the frame is 1,200 rubles and the price of the painting is 10 times more, which is 10,000 rubles.

Calculation of the Price of the Glass and Coaster

Similarly, let's assume the price of the glass is y rubles. According to the given information, the coaster is 6 times more expensive than the glass. Therefore, the price of the coaster can be represented as 6y rubles.

The total price of the glass with the coaster is given as 280 rubles. So, we can set up the following equation:

y + 6y = 280

Simplifying the equation, we get:

7y = 280

Solving for y, we divide both sides of the equation by 7:

y = 280 / 7 = 40

Therefore, the price of the glass is 40 rubles and the price of the coaster is 6 times more, which is 240 rubles.

To summarize: - The price of the painting is 10,000 rubles and the price of the frame is 1,200 rubles. - The price of the glass is 40 rubles and the price of the coaster is 240 rubles.

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