Answer: 15 students pre-ordered and 9 students bought their yearbook at full price.
Step-by-step explanation:
Let x be the number of students pre-ordered \and y be the number of students bought their yearbook at full price .
As per given , we have
Pre-orders for the year cost $38 each, while full price costs $45 each.
If 24 students in Mr.Hillmans homeroom purchased yearbooks for a total of $975.
i.e. [tex]x+y=24[/tex] ...(i)
[tex]38x+45y=975[/tex] ...(ii)
Multiplying equation (i) by 38 , we get
[tex]38x+38y=912[/tex] ...(iii)
Subtracting (iii) from (ii) , we get
[tex]7y=63\\\Rightarrow y=9[/tex]
Put value of y in (i) , we get
[tex]x+9=24\Rightarrow\ x=15[/tex]
Hence, 15 students pre-ordered and 9 students bought their yearbook at full price.
