A bookstore placed two orders with a publisher. The first order was for 12 history books and 4 geography books, for the total cost of $1060. The second order was for 6 history books and 4 geography books, and the total cost was $ 640. What is the price of one history book? What is the price of one geography book?

Solution:

the price of one history book: x

the price of one geography book: y

so

12x+4y=1060

6x+4y=640

so

x= 70

y= 55

so

the price of one history book: $70

the price of one geography book: $55