An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $1340 to purcha

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

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Dâu 4 years 2021-08-21T05:19:15+00:00 1 Answers 60 views -1

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  1. Calantha
    1
    2021-08-21T05:20:59+00:00
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    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 .

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