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

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I believe there is no solution.


Answer:

The problem has no answer.

Step-by-step explanation:

In this case we have the necessary information to define a system of equations with 2 equations and two unknowns (Notebooks are Nt, and newspapers are Ns, this is:

Eq. 1: [tex]40*Nt+20*Ns=130[/tex]

Eq. 2: [tex]8*Nt+4*Ns=28[/tex]

Now replacing the Eq. 2 in the Eq. 1:

[tex]40*(\frac{28-4*Ns}{8})+20*Ns=130[/tex]

[tex]140-20*Ns+20*Ns=130[/tex]

As we can see, the Ns variable eliminates itself from the eqaution by subtraction, analyzing we can observe that the Eq. 2 is the same as Eq. 1, just that is divided by 5 in all of its terms.

The problem has no answer.  

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