Answered

Discover a world of knowledge and community-driven answers at IDNLearn.com today. Ask your questions and receive comprehensive, trustworthy responses from our dedicated team of experts.

the ratio of the number of people who own a smartphone to the number of people who own a flip phone is 4:3. if 500 more people own a smartphone than a flip phone,how many people own each type of phone?

Sagot :

Set up a proportion
[tex] \frac{4}{3} = \frac{x+500}{x} [/tex]

Now, cross multiply to get
3x+1500=4x            Use inverse operations to simplify
-3x           -3x

x=1500

1500 people own a flip phone and 2000 own a smartphone
Naǫidn
x - the number of people who own a smartphone
y - the number of people who own a flip phone

x:y=4:3
[tex]\frac{x}{y}=\frac{4}{3} \\ 4y=3x \\ y=\frac{3}{4}x[/tex]

500 more people own a smartphone than a flip phone.
[tex]x=500+y \\ x=500 + \frac{3}{4}x \\ x-\frac{3}{4}x=500 \\ \frac{1}{4}x=500 \\ x=500 \times 4 \\ x=2000 \\ \\ y=\frac{3}{4}x=\frac{3}{4} \times 2000=3 \times 500 =1500[/tex]

2000 people own a smartphone and 1500 people own a flip phone.
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.