Question

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 40 books. There were 4 times as many large boxes sent as small boxes, which altogether can hold 360 books.Graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number of large boxes sent, y.

Answer 1

so, if there are x small boxes and y large boxes,we have
y = 4x
20x + 40y = 360
that is,
y = 4x
x + 2y = 18
now graph these lines and find their intersection