In a motor of 120 machine parts, 5% parts were defective. In another motor of 80 machine parts, 10% parts were defective. For the two motors considered together, the percentage of defective machine parts were:
7
Here's how to solve this problem step-by-step:
The first motor has 120 machine parts, and 5% are defective. Therefore, the number of defective parts is \(120 \times \frac{5}{100} = 6\).
The second motor has 80 machine parts, and 10% are defective. Therefore, the number of defective parts is \(80 \times \frac{10}{100} = 8\).
The total number of defective parts in both motors is \(6 + 8 = 14\).
The total number of machine parts in both motors is \(120 + 80 = 200\).
The overall percentage of defective parts is \(\frac{14}{200} \times 100 = 7\%\).
However, there seems to be a discrepancy. Let's re-examine the calculation. The question asks for the percentage of defective parts for the two motors *considered together*. The previous calculation is correct if it is asking for the percentage of defective parts, but the given options don't include 7%. It seems there's an error in either the question or the provided options. The correct calculation and answer are shown below.
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