The combined original price for a mirror and a vase is $ 60 . After a 25 % discount to

Question

The combined original price for a mirror and a vase is $ 60 . After a 25 % discount to the mirror and a 45 % discount to the vase are applied, the combined sale price for the two items is $ 39 . Which system of equations gives the original price m , in dollars, of the mirror and the original price v , in dollars, of the vase?

Accepted Answer

Choice C is correct. It&rsquo;s given that m represents the original price, in dollars, of the mirror, and v represents the original price, in dollars, of the vase. It's also given that the combined original price for the mirror and the vase is $ 60 . This can be represented by the equation m + v = 60 . After a 25 % discount to the mirror is applied, the sale price of the mirror is 75 % of its original price. This can be represented by the expression 0.75 m . After a 45 % discount to the vase is applied, the sale price of the vase is 55 % of its original price. This can be represented by the expression 0.55 v . It&rsquo;s given that the combined sale price for the two items is $ 39 . This can be represented by the equation 0.75 m + 0.55 v = 39 . Therefore, the system of equations consisting of the equations m + v = 60 and 0.75 m + 0.55 v = 39 gives the original price m , in dollars, of the mirror and the original price v , in dollars, of the vase. Choice A is incorrect. The second equation in this system of equations represents a 45 % discount to the mirror and a 25 % discount to the vase. Choice B is incorrect. The second equation in this system of equations represents a 55 % discount to the mirror and a 75 % discount to the vase. Choice D is incorrect. The second equation in this system of equations represents a 75 % discount to the mirror and a 55 % discount to the vase.

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