They would both have the same number of books after 6 months.
The number of books they would have is 33.
This expression can be used to determine the number of books Suzanne would have after x months: 15 + 3x
This expression can be used to determine the number of books Jack would have after x months: 57 - 4x
In order to determine the month in which both people would have the same number of books, equate both expressions.
15 + 3x = 57 - 4x
Combine similar terms
3x + 4x = 57 - 15
7x = 42
Divide both sides b y 7
x = 6
Number of books they would have : 15 + 3(6) = 15 + 18 = 33
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