an advertising company charges $40 per half page advertisement and $75 per full page advertisement, Michaeld has a budge 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 advertisement does Michael purchase? show your work.

Question

19-08-2021
Mathematics

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an advertising company charges $40 per half page advertisement and $75 per full page advertisement, Michaeld has a budge 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 advertisement does Michael purchase? show your work.

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could someone help me with these question

Michael11122005 Michael11122005 · Answer 1 · 2021-08-19T10:01:56+02:00

A) h= half page ad and f = full page ad
40h + 75f = 800
h+f=13
B) multiply the second equation by -75, so -75h = -975
Then solve 40h = 800
-75h = -975
You get -35h = -175. Divide both sides by -35 and you get 5. So 5 half page ads

C) Substitute 5 for h in the first equation

40(5) + 75f = 800

200 + 75f = 800

Subtract 200 from both sides

75f = 600

Divide both sides by 75

f = 8

So 8 full page ads

Check: 8+5=13

40(5) + 75(8) = 800

Hope this helped!!