Question

adrian has $1 worth of nickels and dimes. he has twice as many nickels as dimes. write a system of equations that could be used to determine the number of nickels and the number of dimes that adrian has. define the variables that you use to write the system.

Explanation:

Step1: Define variables

Let $n$ = number of nickels, $d$ = number of dimes.

Step2: Relate counts of coins

$n = 2d$

Step3: Relate total value (in cents)

$5n + 10d = 100$

Answer:

Let $n$ = number of nickels
Let $d$ = number of dimes
System of Equations:
$n = 2d$
$5n + 10d = 100$