Three factories received an order for the manufacture of motors. The first plant completed 56% of the total order, the second 5/14 of what the first plant completed, and the third plant made the remaining 240 motors. Find how many motors were made by all three plants.
Answer: Three factories together produced 1000 motors.
Explanation: If we assume that all three factories together produced x motors, then the first plant produced 0.56x motors, that is, 56% of the total number, and the second one – 0.2x, that is, 5/14 of 0.56x.
To do this, we must divide 0.56 by 14 and multiply by 5.
Now you can make an equation with one unknown, where x is the total number of motors manufactured at three factories.
The first plant produced 0.56x, the second plant – 0.2x, and the third, according to the condition of the problem, 240 motors.
In total, all factories produced: x = 0.56x + 0.2x + 240. Hence: x = 0.76x + 240. Further: x – 0.76x = 240. Further: 0.24x = 240. Further: x = 240: 0.24 = 1000 …
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