A newspaper charges $50 per half-page ad and $80 per full-page ad. Gavin has a budget of $750 to purchase 12 advertisements.
Define a variable for each unknown. Write a system of equations to represent the situation.

How many half-page advertisements does Gavin purchase? Show your work.

How many full-page advertisements does Gavin purchase? Show your work. (no links please, and no nonsense answers)

Respuesta :

Answer:

5

Step-by-step explanation:

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