7
QuizMultiple Choice

Modeling with Systems of Linear Equations — Quiz

Question 7 • Mathematics I

Bethany has 3 point 10 dollars in nickels and dimes. She has a total of 44 coins. What is the value of the nickels Bethany has?

Answer
A
0 point 90 dollars
B
1 point 30 dollars
C
2 point 60 dollars
D
1 point 80 dollars

Explanation

Let n be the number of nickels and d the number of dimes. There are 44 coins, so n + d = 44; their total value is 310 cents, so 5n + 10d = 310, or n + 2d = 62. Subtracting the coin-count equation gives d = 18, so n = 26. The nickels are worth 26 × 5 = 130 cents, or $1.30, which is choice B.

AI-written and checked against the verified answer.

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