Question

Kaitlen has $2.55 in nickels and dimes. The number of dimes is 2 less than twice the number of nickels Find the number of nickels.

Answer 1

The number of nickels Kaitlen has is 23. We've found this by setting up and solving two equations based on the conditions given in the problem.

Step-by-step explanation:

The subject of this question is Mathematics, specifically it relates to algebraic problems. In this problem, we need to find the number of nickels Kaitlen has. We know from the problem that Kaitlen has $2.55 in total, and that this total value is made up from nickels (worth $0.05 each) and dimes (worth $0.10 each). The problem also tells us that the number of dimes Kaitlen has is 2 less than twice the number of nickels.

Let's denote the number of nickels as N and the number of dimes as D. We can write two equations based on the information given:

1. 0.05N + 0.10D = 2.55, representing the total value of coins.
2. D = 2N - 2, representing the relationship between the number of dimes and nickels.

We can substitute the second equation into the first to solve for N. We then get: 0.05N + 0.10(2N - 2) = 2.55. Solving this equation gives us N=23.

Learn more about AlgebraProblem