Question

At a book store caral punchased a maths book and a novel that cost a total of $54, not including tax. If the price of the maths text book, m, is $8 more than 3 times the price of the novel ,n, which system of linear equation could be used to determine the price os each book?

Answer 1

Answer:the system of linear equations are

m + n = 54

3n + 8 + n = 54

Explanation:

Let m represent the cost of the maths textbook.

Let n represent the cost of the novel.

Caral purchased a maths book and a novel that cost a total of $54 not including tax. It means that

m + n = 54 - - - - - - - - - - - - 1

If the price of the maths text book is $8 more than 3 times the price of the novel, it means that

m = 3n + 8 - - - - - - - - - -2

Substituting m = 3n + 8 into equation 1, it becomes

3n + 8 + n = 54

4n + 8 = 54

4n = 54 - 8 = 46

n = 46/4 = 11.5

m = 54 - n = 54 - 11.5

m = 42.5