Problema Solution

Alex bought three times as many magazines as books.each magazine costs $16 and each book costs $10 less than each magazine if he spent $270 altogether how many magazines did he buy?

Answer provided by our tutors

let


m = the number of magazines

b = the number of books


Alex bought three times as many magazines as books


m = 3b


each magazine costs $16 and each book costs $10 less than each magazine - this means that the cost of the book is 16 - 10 = $6


he spent $270 altogether


16*m + 6*b = 270


by solving the system of equations


m = 3b

16*m + 6*b = 270


we find


m = 16 magazines


b = 5 books


Alex bought 5 books and 16 magazines.