Question

Tom has 5 comic books in his collections and receives 5 new comic books each month. Joe has 145 comic books, but sends 5 to each of his 3 friends each month. In how many months will they have the same number of comic book How many books will that be?

Answer 1

Answer:

In 7 Months both will have same number of comic books.

The both will have 40 comic books in 7 months.

Step-by-step explanation:

Let Number of months be x.

Given:

Tom Has number comic books = 5

Each month he receives number of books = 5

Total Number of books he has after x month can be calculated by sum of number of comic books he has + number of comic books he receives multiplied by number of months

Hence Total Number of books he has after x month = $5+5x$

Also Given:

Joe Has number comic books = 145

Each month he send number of books to 1 friend = 5

Number of friends = 3

Hence books send to friend each month = $5\times3 =15$

Total Number of books he has after x month can be calculated by Difference of number of comic books he has and number of comic books he send to friends multiplied by number of months

Hence Total Number of books he has after x month = $145-15x$

We need to find the number of months in which both will have same number of of comic book.

Hence we can find by making both equation equal we get;

$5+5x=145-15x$

Combining same terms we get;

$5x+15x=145-5\\20x =140\\x=\frac{140}{20}=7 \ months$

Hence the will have same number of comic books after 7 months.

Now we need to find the number of books the both had after 7 months:

Tom has = $5+5x=5+5\times7= 5+35=40\ books$

Joe has = $145 - 15x = 145 - 15\times7 = 145-105 = 40 \ books$

Hence they both will have 40 comic books after 7 months.