Question

Six times Jason's collection of books and one-third of Nathan's collection add up to 134 books. One-third of Jason's collection and Nathan's entire collection add up to 31 books. How many books do Jason’s and Nathan’s collections have?

Answer 1

Sure, let me help you on this one.

Six times Jason's collection of books and one-third of Nathan's collection add up to 134 books is "(6*J)+(1/3*N)=134"

One-third of Jason's collection and Nathan's entire collection add up to 31 books is "(1/3*6)+N= 31

We need to multiply those equations by 18, and subtract one from another.

6j+18n=558
6j+1/3*n=134

After we subtract, we should get 53n/3=424.

Simplify that! n=24

Now you can substitute to answer the question.

Answer: Nathan has 24 books and Jason has 21 books.