5
QuizMultiple Choice

Modeling with Systems of Linear Equations

Question 5 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Bethany has $3.10 in nickels and dimes. She has a total of 44 coins. What is the value of the nickels Bethany has?

Answer
A
$0.90
B
$1.30
C
$1.80
D
$2.60

Explanation

Let n be the number of nickels and d the number of dimes. The coin count gives n + d = 44, and the value in nickel units gives n + 2d = 62 because $3.10 is 62 nickels. Subtracting the first equation from the second gives d = 18, so n = 26. The nickels are worth 26 × $0.05 = $1.30, which is choice B.

AI-written and checked against the verified answer.

Previous
Next