Answer:
Equations that could be used to determine the number of pennies and the number of nickels that Ian has is Nx +Py = 0.81
Step-by-step explanation:
Given:
Total worth of pennies and nickels = $0.81
Total number of pennies and nickels = 21
To Find:
System of equations that could be used to determine the number of pennies and the number of nickels that Ian has
Solution:
Let
The number of pennies be x
The number of nickel be y
The cost of one penny be P
The cost of one Nickel be N
Total number of pennies and nickels altogether = 21
so
x+y =21------------------------------(1)
from (1)
x= y-21--------------------------------(2)
Now the total worth of pennies and nickels = $0.81
(cost of 1 penny X number of pennies) + (cost of 1 nickel X number of nickels) = 0.81
[tex](P \times x ) + (N \times y ) = 0.81[/tex]
[tex](Px ) + (Ny) = 0.81[/tex]
[tex](P \times (y-21) ) + (N \times y ) = 0.81[/tex]
[tex] Py-21P + Ny = 0.81[/tex]
[tex] Py + Ny -21P = 0.81[/tex]-----------------(3)
