Respuesta :
Answer:
380
Step-by-step explanation:
Given: There are 40% of the student at rockledge middle school are musicians.
75% of those musicians have to read sheet music when they play their instruments.
38 of the students can play their instruments without reading sheet music.
Lets assume the number of students at rockledge middle school be "x" and assume the number of musician in the school be "m".
As given there are 75% of those musicians have to read sheet music, which means, there are (100%-75%)= 25% remaining of those musicians can play their instruments without reading sheet music.
Now, finding the number of total mucisian in school.
We know, 38 of the students can play their instruments without reading sheet music.
∴ [tex]25\% \times m= 38[/tex]
⇒[tex]0.25m= 38[/tex]
dividing both side by 0.25
⇒ [tex]m= \frac{38}{0.25}[/tex]
∴[tex]m = 152[/tex]
Hence, Total number of musician in school is 152.
Next, finding total number of students in the school.
As given, There are 40% of the student at rockledge middle school are musicians.
∴ [tex]40\%\times x= 152[/tex]
⇒[tex]0.40x= 152[/tex]
Dividing both side by 0.40
⇒ [tex]x= \frac{152}{0.40}[/tex]
∴[tex]x= 380[/tex]
Hence, total number of student in the school is 380.
