6
QuizMultiple Choice

Modeling with Linear Systems — Quiz

Question 6 • Algebra II

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? q is equal to d plus n 0 point 2 5 q plus 0 point 1 0 d plus 0 point 0 5 n is equal to 6 point 0 5 q plus d plus n is equal to 36

Answer
A
The total value of the coins in the jar is 36 dollars .
B
There is a total of 36 coins in the jar.
C
There is an equal number of nickels, dimes, and quarters.
D
The number of nickels is equal to the total number of dimes and quarters.

Explanation

The equation q + d + n = 36 adds the number of quarters, dimes, and nickels. Since each variable counts coins, it states that there are 36 coins in total. The equation with 0.25, 0.10, and 0.05 gives the total value as $6.05, not $36.

AI-written and checked against the verified answer.

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