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This equation shows how the total number of books Jack has read depends on the number of months he has been part of a book club. $\newline$ $b = m + 12$ $\newline$ The variable $m$ represents the number of months he has been a member of the book club, and the variable $b$ represents the number of books that he has read. After belonging to the book club for $4$ months, how many books will Jack have read in all? $\newline$ _____ books

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Find a value using two-variable equations: word problems

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Q. This equation shows how the total number of books Jack has read depends on the number of months he has been part of a book club.

\newline

b = m + 12

\newline

The variable

m

represents the number of months he has been a member of the book club, and the variable

b

represents the number of books that he has read. After belonging to the book club for

4

months, how many books will Jack have read in all?

\newline

_____ books

Identify Variable: Identify the variable that $4$ months corresponds to. $m$ represents the number of months Jack has been a member of the book club. So, $4$ months gives the value for $m$ .
Substitute Value: We know that $m = 4$ . Plug in the value for $m$ in $b = m + 12$ . $b = m + 12$ . Substitute $m$ with $4$ . $b = 4 + 12$
Solve for b: $b = 4 + 12$ . Solve for b. $b = m + 12$ . $b = 4 + 12 = 16$ . Therefore, Jack has read $16$ books after being in the book club for $4$ months.

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