Question

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.

Answer 1

Cost of one marker = $5

Cost of one notebook = $8

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 = (120)/(24)`

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= (104)/(13)`

y=8