Respuesta :
Answer:
x = 12 half page advertisements
y = 8 full page advertisements
Step-by-step explanation:
42x + 86y = 1192
x + y = 20
y = 20 - x
Input (20-x) as y into the first equation
42x + 86(20-x)=1192
42x + 1720 - 86x = 1192
(42x - 86x) 1720 -1720= 1192-1720
-44x = -528
x = 12
12 + y = 20
y=8
a. 'x' represents half page advertisement and 'y' represents full page advertisement.
System of equation is given by 42x + 86y = 1192 , x + y =20.
b. Number of full page advertisement Kathryn purchase is equals to 8.
c. Number of half page advertisement Kathryn purchase is equals to 12.
What is system of equation?
" System of equation is defined as the finite set of equations for which we find a common solution."
According to the question,
Cost of half page advertisement = $42
Cost of full page advertisement = $86
Number of advertisement Kathryn could purchase = 20
Total budget of Kathryn to purchase advertisement = $1192
'x' represents half page advertisement
'y' represents full page advertisement
As per the situation given system of equation we have,
42x + 86y = 1192 ______(1)
x + y = 20
x = 20 - y _____(2)
Substitute the value of 'x' from system of equation (2) in (1) we get,
[tex]42( 20 -y) +86y =1192\\\\\implies 840 - 42y +86y =1192\\\\\implies 44y = 1192-840\\\\\implies y = \frac{352}{44}\\ \\\implies y =8[/tex]
Substitute the value of y in (2) to get 'x' ,
[tex]x=20-8[/tex]
= 12
Hence,
a. 'x' represents half page advertisement and 'y' represents full page advertisement.
System of equation is given by 42x + 86y = 1192 , x + y =20.
b. Number of full page advertisement Kathryn purchase is equals to 8.
c. Number of half page advertisement Kathryn purchase is equals to 12.
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