Assignment

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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

12

step by step equation:

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:

, 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.