Question

Цех по производству посуды из стали выпускает ведра емкостью 15 и 20 литров.Причем ежедневно 20-литровых ведер выпускается в три раза больше,чем 15-литровых,а общий объем всех ведер составляет 675 л.Сколько ведер каждого вида выпускается ежедневно?

Answer 1

Х*15л; х*3*20л; 1)Х*15+3х*20=675; 15х+60х=675; 75х=675; х=675:75; х=9; 9*15+3*9*15=135+540=675; 2)9*3=27 ведер 20л в день; ответ: 15л ведер выпускают 9 в день; 20л ведер 27в день.

Answer 2

Calculation of Daily Production of Buckets

To calculate the daily production of buckets of each size, we can set up a system of equations based on the given information.

Let's assume that the number of 15-liter buckets produced daily is represented by x, and the number of 20-liter buckets produced daily is represented by y.

From the given information, we know that the daily production of 20-liter buckets is three times greater than the daily production of 15-liter buckets. This can be expressed as:

y = 3x We also know that the total volume of all the buckets produced daily is 675 liters. Since each 15-liter bucket contributes 15 liters to the total volume and each 20-liter bucket contributes 20 liters, we can write the equation:

15x + 20y = 675 Now, we can solve this system of equations to find the values of x and y.

Solving the System of Equations

To solve the system of equations, we can substitute the value of y from the first equation into the second equation:

15x + 20(3x) = 675

Simplifying the equation:

15x + 60x = 675 75x = 675 x = 9

Now, we can substitute the value of x back into the first equation to find the value of y:

y = 3x y = 3(9) y = 27

Therefore, the daily production of 15-liter buckets is 9, and the daily production of 20-liter buckets is 27.

Answer

The factory produces 9 buckets with a capacity of 15 liters and 27 buckets with a capacity of 20 liters every day.