Answer:
Lindsay owns 12 books.
Step-by-step explanation:
We can solve this question using a system of equations.
I am going to say that:
x is the number of books that Lindsay owns.
y is the nuber of books that Destiny owns.
z is the number of books that Henry owns.
Lindsay owns one-third the number of books that Destiny owns.
This means that:
[tex]x = \frac{y}{3}[/tex], or [tex]y = 3x[/tex]
Henry owns a fourth as many books as Destiny.
This means that [tex]z = \frac{y}{4}[/tex], or [tex]y = 4z[/tex]. Also, in function of x, we may have [tex]3x = 4z, z = \frac{3x}{4}[/tex]
Together they own 57 books.
This means that [tex]x + y + z = 57[/tex]
We want to find x. So
[tex]x + y + z = 57[/tex]
[tex]x + 3x + \frac{3x}{4} = 57[/tex]
[tex]\frac{4x + 4*3x + 3x}{4} = 57[/tex]
[tex]19x = 57*4[/tex]
[tex]x = \frac{57*4}{19}[/tex]
[tex]x = 12[/tex]
Lindsay owns 12 books.
Answer:
12
Step-by-step explanation:just did the assignment
