Question

5-й класс у плиточника есть ящик с синей и ящик с белой плиткой для облицовки стен,по 60 штук в каждом.Он выложил синей плиткой три ряда: в верхнем ряду синих плиток на 3 больше,чем в среднем,а в среднем на 3 больше,чем в нижнем.Каждый ряд плиточник закончил белой плиткой.Сколько синих плиток в каждом ряду,если израсходованы все синие плитки,лежащие в ящике?

Answer 1

1) 60-3-3-3=51 плитка
2) 51:3=17 плиток самый нижний
3) 17+3=20 плиток средний ряд
4) 20+3=23 верхний
5) 17+20+23=60

Answer 2

Problem Analysis

The problem states that a tile layer has a box with blue and white tiles for wall cladding. There are 60 tiles in each box. The tile layer laid out three rows of blue tiles, with the top row having 3 more tiles than the middle row, and the middle row having 3 more tiles than the bottom row. Each row ends with a white tile. The question is asking how many blue tiles are in each row if all the blue tiles in the box were used.

Solution

Let's assume the number of blue tiles in the bottom row is x. According to the problem, the middle row has 3 more tiles than the bottom row, so the number of blue tiles in the middle row is x + 3. Similarly, the top row has 3 more tiles than the middle row, so the number of blue tiles in the top row is (x + 3) + 3 = x + 6.

Since each row ends with a white tile, the total number of blue tiles used in the three rows is x + (x + 3) + (x + 6) + 3 = 3x + 12.

We know that there are 60 blue tiles in the box, so we can set up the equation 3x + 12 = 60 to find the value of x.

Calculation

Let's solve the equation 3x + 12 = 60 to find the value of x.

3x + 12 = 60

Subtract 12 from both sides:

3x = 48

Divide both sides by 3:

x = 16

Answer

Therefore, there are 16 blue tiles in the bottom row, 16 + 3 = 19 blue tiles in the middle row, and 16 + 6 = 22 blue tiles in the top row if all the blue tiles in the box were used.