The given system of equations models the coins in a jar containing n nickels, d dimes, and q quarters. Which statement is modeled by one of the equations in the system? The number of nickels is equal to the total number of dimes and quarters. The total value of the coins in the jar is $36. There is a total of 36 coins in the jar. There is an equal number of nickels, dimes, and quarter

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Question is Incomplete, Complete question is given below;

The given system of equations models the coins in a jar containing n nickels, d dimes, and q quarters. Which statement is modeled by one of the equations in the system?

[tex]q=d+n\\\\0.25q + 0.10d +0.05n = 6.05\\\\q+d+n=36[/tex]

A)The number of nickels is equal to the total number of dimes and quarters.

B)The total value of the coins in the jar is $36.

C)There are a total of 36 coins in the jar.

D)There is an equal number of nickels, dimes, and quarters.

Answer:

C)There are a total of 36 coins in the jar.

Step-by-step explanation:

We will first find the interpretation of 3 equations.

Equation 1:

[tex]q=n+d[/tex]

From above we can say that;

"Number of quarters is equal sum of nickels and dimes."

Equation 2:

[tex]0.25q + 0.10d +0.05n = 6.05[/tex]

From above we can say that;

"The total value of the coins in the jar is $6.05."

Equation 3:

[tex]q+d+n=36[/tex]

From above we can say that;

"There is a total of 36 coins in the jar."

Now we can say see that;

From the given choices of answer only 1 is proper for the given equation interpretation.

The choice which is proper is

C) "There is a total of 36 coins in the jar."

Answer:

C. There is a total of 36 coins in the jar.

Step-by-step explanation:

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