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, x, and the number of dimes, y, that Melanie has.

Answer 1

Answer:

The number of nickels, x is 4

The number of dimes, y is 16.

Explanation:

Given that Melanie has $1.80 worth of nickels and dimes, and she has 12 more nickels than dime.

Let x represent the number of nickels and y represent the number of dimes.

Then we have:

0.05x + 0.1y = 1.80 ...................................................(1)

x + 12 = y.....................................................................(2)

Solving these equations using graph as follow:

Note that the solution are the points where the lines intersect.

Here, x = 4 and y = 16