A survey of one thousand people found that 70% of the people have a

CD player, 85% have a telephone, and 45.2% have a computer. At
least how many people have all three objects?

Is the answer 152?

The minimum number will start with the 15 percent who do not have a telephone:

So 150 of 452 have a computer, but no telephone.
The next group has to be having a telephone and a computer, but not cd player.
300 do not have a cd player, so you can take these 300 and make them owners of a computer.
That leaves 2 people who have to have all three.

To find the minimum number of people who have all three objects (CD player, telephone, and computer), you need to determine the smallest count among the percentages provided.

The percentage of people who have a CD player is 70%, the percentage of people who have a telephone is 85%, and the percentage of people who have a computer is 45.2%.

From these percentages, we can deduce that the maximum number of people who have all three objects is equal to the smallest percentage given, which is 45.2%. However, it is important to note that this represents the maximum possible number of people who have all three objects, not the minimum.

To calculate the minimum, we need to consider the percentage overlaps between the different objects. Assuming there is no overlap between the groups, we can subtract the percentage of people who do not have each object from 100% to find the maximum possible overlap.

The percentage of people who do not have a CD player is 100% - 70% = 30%.

The percentage of people who do not have a telephone is 100% - 85% = 15%.

The percentage of people who do not have a computer is 100% - 45.2% ≈ 54.8%.

Since we assumed there is no overlap between the groups, the smallest count among the percentages of people who do not have each object represents the minimum number of people who have all three objects.

Therefore, the minimum number of people who have all three objects is 15%.

To calculate the minimum number of people, we multiply the minimum percentage (15%) by the total number of people surveyed (1000):

15% * 1000 = 0.15 * 1000 = 150

Thus, the minimum number of people who have all three objects is 150, not 152.