a school knows that 38% of its incoming students own a smart phone and a tablet.what percent of students who own a smartphone also own a tablet if 84% of students own a smart phone

We know that
38% of the incoming students own both a smartphone and a tablet
84% of the students own a smartphone

We are asked to find the percentage of students who own a smartphone

Let N be the total number of incoming students and S be the total number of students

So,
(N (38%) + S (84%)) / (N + S)

If we know the total number of students or incoming students, we can solve for the percentage by substituting the value of N or S

Answer Link

virtuematane virtuematane · Answer 2 · 2019-01-11T11:16:11+01:00

Answer:

answer is: 45.238%

Step-by-step explanation:

Let the total population be 'x'

The percent population of student that own both smartphone and a tablet=38%

That means the number of students owing both smartphone and tablet= [tex]\dfrac{38}{100}\times x[/tex]

Also, 84% of total students own a smart phone

That means the number of students owing smartphone= [tex]\dfrac{84}{100}\times x[/tex]

Now, we need to find the percent of students who own a smartphone also own a tablet:

percentage student[tex]=\dfrac{\dfrac{38}{100}\times x }{\dfrac{84}{100}\times x } \times 100\\\\=\dfrac{38}{84}\times 100 \\\\=45.238%[/tex]

Hence, the percent students who owns a smartphone also own a tablet=45.238%