Question

An advertising company charges $40 per half-page advertisement and $75 per full-page advertisement. Michael has a budget of $800 to purchase 13 advertisements. • Define a variable for each unknown. • Write a system of equations to represent the situation and solve the system

• • • How many half-page advertisements does Michael purchase? • Show your work. •

How many full-page advertisements does Michael purchase? Show your work.

Answer 1

full page = 8

half page = 5

Explanation:

two equations can be derived from the question

40x + 75y = 800 equation 1

x + y = 13 equation 2

x = number of half page advertisement

y = number of full page advertisement

multiply equation 2 by 40

40x + 40y = 520 equation 3

subtract equation 3 from 2

280 = 35y

y = 8

substitute for y in equation 2

x + 8 = 13

x = 13 - 8

x = 5