Elizabeth bought 12 markers and 13 notebooks cost $164. destiny 36 markers and 13 notebooks cost $284. find the cost of a markers and a notebooks.

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

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

y=8

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step-by-step explanation:

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