the ratio of students who wear glasses to the total class is 2:5 if there are 15 students who don't wear glasses how many students are in the class

Respuesta :

Answer: 25 students


Step-by-step explanation:

The students who don't wear glasses to the whole class is 3:5. If 15 is the '3' then 25 would be the 5.

aachen

Answer:

25

Step-by-step explanation:

Given: The ratio of students who wear glasses to the total class is [tex]2:5[/tex]

To Find: If there are [tex]15[/tex] students who don't wear glasses how many students are in the class.

Solution:

Let total students in class are[tex]=\text{t}[/tex]

fraction of students of total class who wear glass[tex]=\frac{2}{5}[/tex] [tex]\text{t}[/tex]

fraction of students of total class who don't wear glass[tex]=1-\frac{2}{5}[/tex] [tex]\text{t}[/tex]

                                                                                           [tex]\frac{3}{5}[/tex] [tex]\text{t}[/tex]

Number of students who don't wear glass[tex]=15[/tex]

                    [tex]\frac{3}{5}\text{t}=15[/tex]

                    [tex]\text{t}=\frac{5}{3}\times15[/tex]

                    [tex]\text{t}=25[/tex]

Hence there are [tex]25[/tex] students in the class