Question

Olivia buys 0.5 pounds of ricotta

cheese and 0.25 pounds of parmesancheese. The parmesan cheese costs $5 more per pound than the ricotta cheese. She pays a total of $9.50.
Select all of the correct statements
that apply to this situation.
A) 1 pound of parmesan cheese
plus 1 pound of ricotta
cheese costs $27.
B) The parmesan cheese costs
twice as much per pound as
the ricotta cheese.
C) Increasing the number of
pounds of parmesan cheese
by 0.25 pounds results in a
total cost of $13.50.
D) The cost x, in dollars, of
1 pound of ricotta cheese
can be found by solving
0.5x + 0.25(x - 5) = 9.5. E) The cost y, in dollars, of
1 pound of parmesan cheese
can be found by solving
0.25y + 0.5(y – 5) = 9.5.

Answer 1

Only option D is correct as it properly sets up the equation to find the cost per pound of ricotta cheese, while other options either lack information to confirm their accuracy or have inaccuracies in their formulations.

Step-by-step explanation:

Let's analyze each statement given in the problem.

Option A:

To check if statement A is true, we would need to know the exact cost per pound of each type of cheese, which we do not have. However, we already know the total cost of 0.5 pounds of ricotta and 0.25 pounds of parmesan is $9.50, so without further information, we cannot confirm the truth of this statement.

Option B:

If parmesan cheese costs $5 more per pound than ricotta, without knowing the base price of ricotta, we cannot conclude that parmesan costs twice as much. Hence, we cannot confirm this statement is true.

Option C:

Without knowing the exact price per pound of parmesan cheese, we cannot calculate the total cost for an increased amount. Therefore, we cannot confirm the truth of statement C.

Option D:

This equation represents the cost of 0.5 pounds of ricotta (0.5x) and 0.25 pounds of parmesan, which costs $5 more (0.25x + 0.25*5), equal to the total of $9.50. Simplifying the equation gives us 0.5x + 0.25x + 1.25 = 9.5, which is the correct equation to find the cost of ricotta cheese per pound.

Option E:

The equation for the cost of 1 pound of parmesan cheese should be based on the cost of 1 pound of ricotta (let's call it x), plus the $5 increase. So it should be 0.25(x + 5) for the 0.25 pounds of parmesan cheese plus 0.5x for the 0.5 pounds of ricotta cheese equaling $9.50, not 0.25y + 0.5(y - 5) = 9.5.

From this analysis, we can conclude that option D is a correct statement, while other statements cannot be confirmed with the information given or are not formulated correctly.

Answer 2

Hello! I think the answer is A.
Hope this helped
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