71778
AssignmentMultiple Choice

Standard Form of a Line

Question 71778 • CUSD Math 01 A (5.0)

Austin determined that he has $13.50 in his piggy bank just in quarters and dimes. If q represents the number of quarters he has and d represents the number of dimes, which equation, written in standard form, represents this scenario?

Answer
A
q + d = 13.50
B
0.10q + 0.25d = 13.50
C
5q + 2d = 270
D
2q + 5d = 270

Explanation

Each quarter is worth $0.25, so q quarters are worth 0.25q dollars. Each dime is worth $0.10, so d dimes are worth 0.10d dollars; together they total $13.50. Multiplying 0.25q + 0.10d = 13.50 by 20 gives 5q + 2d = 270, which is choice C.

AI-written and checked against the verified answer.

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