Question

Assignment

Active
Converting Word Problems
1
1
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 -X+ x + x =57 models the scenario, how many books does Lindsay
3 4
own?
12
18
36
48

Answer 1

12

step by step equation:

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:

, or

Henry owns a fourth as many books as Destiny.

This means that , or . Also, in function of x, we may have

Together they own 57 books.

This means that

We want to find x. So

Lindsay owns 12 books.