6
QuizMultiple Choice

Linear Programming — Unit test

Question 6 • FL-1200330-Algebra 2 CR

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?

Answer
A
q + d = 6 25q + 10d = 33
B
q + d = 6 0.25q + 0.1d = 33
C
q + d = 33 25q + 10d = 6
D
q + d = 33 0.25q + 0.1d = 6

Explanation

The total number of coins gives q + d = 33. Each quarter is worth $0.25 and each dime is worth $0.10, so their combined value is 0.25q + 0.1d = 6. Therefore, choice D gives the system that matches both the number of coins and their total value.

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