Question

6 multiple choice 1 point the two line segments in the graph were derived from the information that jenny has a total of 6 coins in nickels and dimes ($n + d = 6$) and that the number of nickels is twice the number of dimes ($n = 2d$). how many nickels and how many dimes does

Explanation:

Step1: Substitute \( N = 2D \) into \( N + D = 6 \)

We know the two equations are \( N + D = 6 \) and \( N = 2D \). Substitute \( N \) in the first equation with \( 2D \) from the second equation. So we get \( 2D + D = 6 \).

Step2: Solve for \( D \)

Simplify the left - hand side of the equation \( 2D+D = 6 \), we have \( 3D=6 \). Then divide both sides by 3: \( D=\frac{6}{3}=2 \).

Step3: Solve for \( N \)

Since \( N = 2D \) and \( D = 2 \), substitute \( D \) into the equation for \( N \). We get \( N=2\times2 = 4 \).

Answer:

Jenny has 4 nickels and 2 dimes.