Awesomeness360
Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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. A) Define a variable for each unknown. Write a system of equations to represent the situation. B( How many half-page advertisements does Michael purchase? Show Your Work. C) How many full-page advertisements does Michael purchase? Show your Work. ( Will Mark Brainliest but have to show work) Answer A, B & C. No links or nonsense answers please.​

Sagot :

A) let h = number of half page ads and f = number of full page ads
40h + 75f = 800. Assuming budget is fully spent
h + f = 13

B) 75h + 75f = 975 (multiplying the second equation by 75)
35h = 175 (subtracting the first equation)
h = 5
Michael purchases 5 half page adverts

C) 5 + f = 13 (Substituting for h in second equation)
f = 8
Michael purchases 8 full page adverts

The number of half page advertisements that Michael purchased is 5 while the full page advertisements is 8.

Let the number of half page ads be represented by h

Let the number of full page ads be represented by f.

Therefore, the system of equations to represent the situation will be:

h + f = 13 ....... i

40h + 75f = 800 ........ ii

From equation i,

h = 13 - f ....... equation iii

Put the value of h into equation ii

40h + 75f = 800

40(13 - f) + 75f = 800

520 - 40f + 75f = 800

Collect like terms

75f - 40f = 800 - 520

35f = 280

f = 280/35

f = 8

The number of full-page advertisements that Michael purchased is 8.

Since h + f = 13

h + 8 = 13

h = 13 - 8

h = 5

The number of half page advertisements that Michael purchased is 5.

Read related link on:

https://brainly.com/question/24429956

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.