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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.

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