Question

at a College Bookstore clariyah purchase a math textbook and a novel that cost a total of $54. not including tax if the prices of the math book is $8 more than three times the price of a novel determine the price of each book?

Answer 1

x = novel....? = math book
We know that the math book is 3 times the novel plus 8 more, so that's why we can represent the novel as "x" and the math book as "3x + 8." So we can set up the equation as "math book + novel = $54."
(3x + 8) + x = $54
Combine your "x's" to get 4x (because you can only combine like terms) then subtract 8 from 54.
4x = $46
Divide
x (novel) = $11.50
Then subtract $11.50 from $54 to get the price of the math book which is $42.50. To check your answer, multiply $11.50 times 3 and add 8, because we were told that the math book was 3 times $11.50 plus 8.