Question

Some people own an Apple phone and others own a Samsung. The ratio of Apple to Samsung is 4:3. 500 more people own an Apple phone than a Samsung phone. How many people own each type of phone

Answer 1

The problem involves determining the number of Apple and Samsung phone owners based on a given ratio and difference in ownership. By setting up a proportion using the given ratio and solving for the number of Samsung phone owners, we find that there are 2000 Apple phone owners and 1500 Samsung phone owners.

Step-by-step explanation:

The student's question involves solving a word problem related to ratios and numbers. We need to determine how many people own an Apple phone and how many own a Samsung phone, given that the ratio of Apple to Samsung owners is 4:3 and there are 500 more Apple phone owners than Samsung phone owners.

Let's assume the number of Samsung phone owners is x. Then, according to the ratio, the number of Apple phone owners would be x + 500. Using the ratio 4:3, we can set up the following proportion:

4/3 = (x + 500)/x

Now, we solve for x to get:

4x = 3(x + 500)

4x = 3x + 1500

x = 1500

So, there are 1500 Samsung phone owners. To find the number of Apple phone owners, add 500:

x + 500 = 1500 + 500

x + 500 = 2000

Therefore, there are 2000 Apple phone owners and 1500 Samsung phone owners.