MATH SOLVE

4 months ago

Q:
# 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. The number of books in Jason's collection is , and the number of books in Nathan's collection is .

Accepted Solution

A:

Answer:Jason's collection: 21 books.Nathan's collection 24 books.Step-by-step explanation:Let number of books owned by Jason be j books and that for Nathan be n books.So we have the system:6j + 1/3 n = 134.........(1)1/3j + n = 31................(2)Multiply the first equation by -3. We get:-18j - n = -402............(3)Adding (2) + (3):-53/3 j = -371j = -371 * 3 / -53j = Β 21.Now substitute j = 21 in equation (2):1/3(21) + n = 31n = 31 - 7 = 24n = 24.