 Mathematics
29 March, 23:34

# Christopher has 45 comic books in his collection and Jeffrey has 61 comic books.Christopher buys 4 new comic books each month and Jeffrey buys 2 comic books eachmonth. Write an equation to determine how many months will Christopher and Jeffreyhave the same number of comic books?

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Answers (1)
1. 30 March, 00:17
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4x+45=2x+61

X=8

Step-by-step explanation:

Since Christopher already has 45 books, this is constant. Similarly, Jeffrey having 61 books implies this is constant. Using the concept of y=mx+c, the above figures are c since they don't change. Therefore, for the case of Christopher, m is 4 and let x represent the number of months. The equation relation to the total number of books Christopher will have after x months will be 4x+45. Similarly, for Jeffrey the equation will be 2x+61 and the time when they have same number of books then the equations are same. Therefore, 4x+45=2x+61 and rearranging similar terms 2x=16 hence x=16/2=8
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