Question

victoria has $1.90 worth of nickels and dimes. she has 2 more buckled then dimes. write a system of equations that could be used to determine the number of nickels and the number of dimes victoria has. define the variables that you use to write the system.

Answer 1

To determine the number of nickels and dimes Victoria has, we can write a system of equations. Let N represent the number of nickels and D represent the number of dimes. The system of equations would be: N = D + 2 and 0.05N + 0.10D = 1.90.

Step-by-step explanation:

To write a system of equations to determine the number of nickels and dimes Victoria has, we need to define the variables. Let N represent the number of nickels and D represent the number of dimes. The value of the nickels can be calculated as 0.05N and the value of the dimes can be calculated as 0.10D. We also know that Victoria has 2 more nickels than dimes, so we can write the equation N = D + 2.

The total value of the coins can be calculated as 0.05N + 0.10D. We know that this total value is $1.90, so we can write the equation 0.05N + 0.10D = 1.90.

So, the system of equations is:

N = D + 2

0.05N + 0.10D = 1.90