Question

An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $1340 to purchase 15 advertisements. Define a variable for each unknown. Write a system of equations to represent the situation. How many half-page advertisements does Michael purchase? Show your work. How many full-page advertisements does Michael purchase? Show your work.4

Answer 1

Answer:

The number of half-page advertisements is 4.

The number of Full-page advertisements is 11.

Step-by-step explanation:

According to the Question,

• Given, An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $1340 to purchase 15 advertisements.

Let, 'x' be the number of half-page advertisements and 'y' be the number of full-page advertisements.

• Thus, 60x + 100y is the money charged, and given that he has a budget of $ 1340.

       60x + 100y = 1340

• And, the number of advertisements is 15. So, the other equation is

       x + y = 15

Now, We have Two Equations,

60x + 100y = 1340 and x + y = 15

• the solution of the system is Put x=(15-y) in Equation 60x + 100y = 1340

60 (15-y) + 100y = 1340

900 - 60y + 100y = 1340

40y = 1340 - 900

40y = 440

y = 440/40

y = 11 So, For x = 15 - y ⇒ 15-11 ⇒ x=4 .

• Thus, the number of half-page advertisements is 4 and The number of Full-page advertisements is 11 .