Answer:
Cost of one marker = $5
Cost of one notebook = $8
Step-by-step explanation:
Given:
Number of markers Elizabeth bought = 12
Number of notebooks Elizabeth bought = 13
Total amount for which Elizabeth purchased = $164
Number of markers destiny bought = 36
Number of notebooks destiny bought = 13
Total amount for which Destiny purchased = $284
To Find:
Cost of one marker and notebook =?
Solution:
Let the cost of one marker be x
cost of one notebook be y
The according to Elizabeth,
12x + 13y = 164 ------------------------------------------(1)
The according to Destiny,
36x+13y= $284-----------------------------------------(2)
Subtracting (1) from (2)
36x + 13y = $284
12x + 13y = 164
(-) (-) (-)
---------------------------------
24x +0 = 120
24x = 120
[tex]x = \frac{120}{24}[/tex]
x=5
Now to find the value of y, let us substitute the value of x in eq (1),
12(5) + 13y = 164
60 + 13y =164
13y = 164 - 60
13y =104
[tex]y= \frac{104}{13}[/tex]
y=8
