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Liam's bookstore sold 40 notebooks and 20 newspapers for a total of $130. A day later, the bookstore sold 8 notebooks and 4 newspapers at the same prices, for a total of $28. How much does a notebook and a newspaper cost at Liam's bookstore?

Respuesta :

Yna9141
The total sales will be calculated by adding up the revenue from the selling of the notebooks and that of the newspaper. For representation, we let x be the price of each of the notebook and y be the price of each of the newspaper. The equation that allows us to solve this item are,

                 40x + 20y = 130
 and          8x + 4y = 28 
  
With this, if we divide the left hand side by the left hand side of the equation number 2, we have 5. However, 130 divided 28 is not 5 but 4.64. Hence, the system does not have any solution. 
barnuts

Let us say that:

X = price of each notebook

Y = price of each newspaper

 

So from the problem statement we can create the following equations:

40 X + 20 Y = 130                               --> eqtn 1

8 X + 4 Y = 28                                      --> eqtn 2

 

Divide both equations by the lowest coefficient to simplify:

Divide eqtn 1 by 20 =>   2 X + Y = 6.5

Divide eqtn 2 by 4=>       2 X + Y = 7

 

So we can see that although both equations has equal left side, the right side do not match. Hence this problem is impossible to solve.

 

-> The given information describes an impossible situation.

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