A company selling cell phones has a total inventor of 800 phones. Of these phones, 400 are smartphones and 240 are black. If 200 phones are not black and not a smartphones, how many are black smartphones?
Draw a Venn diagram. It is clear that
800-(400+240-B&S) = 160+B&S = 200
B&S = 40
Well, it seems like we have a bit of a phone circus going on here! Let's break this down, shall we?
We know that there are 800 phones in total, with 400 being smartphones and 240 being black. Now, if 200 phones are not black and not smartphones, that means these 200 must be the misfits of the bunch.
To find out how many phones are black smartphones, we need to subtract the misfit phones from the total. So, we subtract the 200 misfits from the total of 800 phones, leaving us with 600 phones.
Since we also know that there are 240 black phones, let's subtract that from the 600 phones we have left.
600 - 240 = 360
So, based on this wild phone party, there are 360 black smartphones in the inventory!
To find out how many phones are black smartphones, we need to determine the overlap between the black phones and the smartphones. We can do this by subtracting the phones that are not black and not smartphones from the total number of phones.
Total number of phones = 800
Total number of smartphones = 400
Total number of black phones = 240
Phones that are not black and not smartphones = 200
To find the number of black smartphones, we can use the formula:
Number of black smartphones = Total number of smartphones + Total number of black phones - Phones that are not black and not smartphones
Number of black smartphones = 400 + 240 - 200
Number of black smartphones = 440
Therefore, there are 440 black smartphones.
To find out how many are black smartphones, we need to first determine the number of phones that are neither black nor smartphones.
Given that there are 200 phones that are not black and not smartphones, we can subtract this value from the total inventory to find the number of phones that are either black or smartphones.
Total inventory: 800 phones
Phones that are not black and not smartphones: 200 phones
Number of phones that are either black or smartphones = Total inventory - Phones that are not black and not smartphones
Number of phones that are either black or smartphones = 800 phones - 200 phones = 600 phones
Now, let's determine how many of these 600 phones are black smartphones.
Given that there are 400 smartphones and 240 black phones, we can calculate the number of black smartphones by taking the minimum of these two values.
Number of black smartphones = Minimum (Number of smartphones, Number of black phones)
Number of black smartphones = Minimum (400 phones, 240 phones) = 240 phones
Therefore, there are 240 black smartphones among the inventory of 800 phones.