Question

Write System of Equations from Context

Kennedy has $0.81 worth of pennies and nickels. She has 9 more nickels than
pennies. Write a system of equations that could be used to determine the number of
pennies and the number of nickels that Kennedy has. Define the variables that you
use to write the system.
Let __=_________
Let__=___________

System of Equations:
_________________

_________________

Answer 1

Let p = the number of pennies Kennedy has
Let n = the number of nickels Kennedy has

Based on the information given, we can write the following two equations:

The total value of pennies is 0.01p
The total value of nickels is 0.05n
Kennedy has 9 more nickels than pennies, so we can write: n = p + 9
So, the system of equations is:

0.01p + 0.05n = 0.81
n = p + 9

This system of equations can be used to determine the number of pennies and nickels Kennedy has.