Question

Melanie has $1.80 worth of nickels and dimes. She has 12 more nickels than dimes. Graphically solve a system of equations in order to determine the number of nickels, , and the number of dimes, y, that Melanie has. y Click twice to not each line Click linn to doloto it

Answer 1

Let's begin by listing out the information given to us:

Let nickel be represented as n, and dimes as d

Melanie has $1.80 worth of nickels and dimes:

`n+d=1.80`

She has 12 more nickels than dimes:

`\begin{gathered} n=12d \\ n=12(0.05)=0.6 \\ n=0.06 \end{gathered}`

The point of intersection of the graph is (0.6, 1.74). Therefore, the number of nickels is 0.6 while the number of dimes is 1.74