40
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 40 • TX-Algebra II

Kyle has a total of 16 coins in his pocket. All the coins are nickels or quarters, and they have a total value of $2.20. How many nickels does Kyle have?

Answer
A
7 nickels
B
8 nickels
C
9 nickels
D
11 nickels

Explanation

Let n be the number of nickels and q the number of quarters. Since there are 16 coins, n + q = 16; the total value is 220 cents, so 5n + 25q = 220. Dividing the value equation by 5 gives n + 5q = 44. Subtracting n + q = 16 gives 4q = 28, so q = 7 and n = 9. Kyle has 9 nickels, choice C.

AI-written and checked against the verified answer.

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