Question

Три завода получили заказ на изготовление моторов. Первый завод выполнил 0,56 всего заказа, второй - 5/14 того, что выполнил первый завод, а третий завод изготовил остальные 240 моторов. Сколько всего моторов изготовили все три завода? Прошу решить с краткой записью и уравнением!

Answer 1

Х-весь заказ
0,56х-выполнил первый
5/14*0,56х=5*0,04х=0,2х-выполнил второй

0,56х+0,2х+240=х
0,76х+240=х
х-0,76х=240
0,24х=240
х=240/0,24=24000/24=1000-весь заказ

Answer 2

0.56=56% - 1 завод,  56/100 - 5/14=0.2=20%,  100-(56+20)=24%, 24%=240 моторов, тогда: (240*100) /24=1000 моторов изготовили все три завода.

Answer 3

Problem Analysis

Three factories received an order to manufacture motors. The first factory completed 56% of the total order, the second factory completed 5/14 of what the first factory completed, and the third factory manufactured the remaining 240 motors. We need to find the total number of motors manufactured by all three factories.

Solution

Let's denote the total number of motors in the order as T.

The first factory completed 56% of the total order, which is equal to 0.56T.

The second factory completed 5/14 of what the first factory completed. Therefore, the second factory completed (5/14) * 0.56T = (5/14) * 0.56T = (5/25) * 0.56T = 0.224T.

The third factory manufactured the remaining 240 motors.

To find the total number of motors manufactured by all three factories, we need to sum up the motors produced by each factory:

Total = Motors produced by the first factory + Motors produced by the second factory + Motors produced by the third factory

Total = 0.56T + 0.224T + 240

Simplifying the equation:

Total = 0.784T + 240

Now, we need to solve this equation to find the value of T.

Equation

Total = 0.784T + 240

To solve for T, we can rearrange the equation:

0.784T = Total - 240

T = (Total - 240) / 0.784

Now we can substitute the given values to find the total number of motors manufactured by all three factories.

Calculation

Given that the third factory manufactured 240 motors, we can substitute this value into the equation:

T = (Total - 240) / 0.784

T = (240 - 240) / 0.784

T = 0 / 0.784

T = 0

Therefore, the total number of motors manufactured by all three factories is 0.

Answer

The total number of motors manufactured by all three factories is 0.