Question

Lindsay owns one-third the number of books that Destiny owns. Henry owns a fourth as many books as Destiny. Together they own 57 books. If the equation models the scenario, how many books does Lindsay own? 12 18 36 48

Answer 1

12

Step-by-step explanation:just did the assignment

Answer 2

Lindsay owns 12 books.

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:

`x = (y)/(3)`, or
`y = 3x`

Henry owns a fourth as many books as Destiny.

This means that
`z = (y)/(4)`, or
`y = 4z`. Also, in function of x, we may have
`3x = 4z, z = (3x)/(4)`

Together they own 57 books.

This means that
`x + y + z = 57`

We want to find x. So

`x + y + z = 57`

`x + 3x + (3x)/(4) = 57`

`(4x + 4*3x + 3x)/(4) = 57`

`19x = 57*4`

`x = (57*4)/(19)`

`x = 12`

Lindsay owns 12 books.