Question

The ratio of the number of people who own a smartphone to the number of people who a flip phone is 5:3. If 600 more people own a smartphone than a flip phone, how many people own a flip phone?

Answer 1

Answer:

900

Step-by-step explanation:

The ratio of the number of people who own a smartphone to the number of people who a flip phone is 5:3.

Let the number of people who own a flip phone=x

If 600 more people own a smartphone than a flip phone, then the number of people who own a smartphone=x+600

To find x, we express the ratio and population as an equality.

5:3=x+600:x

Expressing the ratios as fractions would give:

$\dfrac{5}{3}=\dfrac{x+600}{x}$

Next, we cross multiply

5x=3(x+600)

Open the brackets by expansion.

5x=3x+(3 X 600)

5x=3x+1800

Subtract 3x from both sides.

5x-3x=3x-3x+1800

2x=1800

Divide both sides by 2

x=900.

Since x=900, the number of people who own a flip phone is 900.