Question

The company president sets a goal that the percentage of working phones must increase from 30% to at least 80% by the

end of the day.
The phones continue to be made with the correct working part, so the percentage continues to increase.
What percent is reached if (round answers to the nearest tenth of a percent):
The next 50 phones are working?
The next 100 phones are working?
The next 500 phones are working?

Answer 1

The new percentage of working phones depends on the initial number of phones. Without actual numbers, assuming an initial batch of 100 phones, if 50 phones work, 53.3% will be working; with 100 working phones added, 65.0%; with 500 working phones, 88.3%.

Step-by-step explanation:

The question asks for the new percentage of working phones after a certain number are added to a batch, assuming that we start from a 30% success rate with the goal of reaching at least 80%.

Next 50 phones are working:

If the next 50 phones are working, and we assume that there were 100 phones to start with (30 working, 70 not working), then adding 50 working phones would change the total to 80 working out of 150. That would be 53.3% working phones after rounding.

Next 100 phones are working:

With the same initial assumption, adding 100 working phones to the original 100 (30 working, 70 not working) would result in 130 working out of 200 total phones, which is 65.0%.

Next 500 phones are working:

If the next 500 phones are working, adding these to the original 100 (30 working, 70 not working) yields 530 working out of 600 total phones. This would be 88.3%, thus exceeding the company president's goal.

Please note, the actual number of original phones was not provided, and the answers here are based on an assumption for illustrative purposes.