10
QuizMultiple Choice

Systems of Equations

Question 10 • LJISD-TX-Precalculus-B-CR

Suppose you have just enough money, in coins, to pay for a loaf of bread priced at $1.95. You have 12 coins, all quarters and dimes. Let q equal the number of quarters and d equal the number of dimes. Which system models the given information?

Answer
A
q + d = 12q + d = 1.95
B
10q + 25d = 12q + d = 1.95
C
25q + 10d = 195q + 12 = d
D
q + d = 120.25q + 0.10d = 1.95

Explanation

The total number of coins is 12, so the first equation is q + d = 12. A quarter is worth $0.25 and a dime is worth $0.10, so their total value is 0.25q + 0.10d = 1.95. Together, these equations are choice D.

AI-written and checked against the verified answer.

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