Brent has 6 times as many books as Timmy. If Timmy had 45 more books, the two boys would have exactly the same amount. How many books does Brent have?

1 answer

b = Brent´s books

t = Timmy´s books

Brent has 6 times as many books as Timmy means:

b = 6 t

If Timmy had 45 more books, the two boys would have exactly the same amount means:

t + 45 = b

Replace b by 6 t in this equation.

t + 45 = 6 t

Subtract t to both sides

45 = 5 t

45 / 5 = t

9 = t

t = 9

b = 6 t = 6 ∙ 9 = 54

Brent have 54 books.