Answer:
The number of quarter coins is 47 and the number of nickel coins is 50
Step-by-step explanation:
Let
x----> the number of quarter coins
y ----> the number of nickel coins
Remember that
[tex]1\ quarter=\$0.25[/tex]
[tex]1\ nickel=\$0.05[/tex]
we know that
The jar containing 97 coins
so
[tex]x+y=97[/tex] ----> equation A
The total value of the coins in the jar is $14.25
so
[tex]0.25x+0.05y=14.25[/tex] ----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is the point (47,50)
see the attached figure
therefore
The number of quarter coins is 47 and the number of nickel coins is 50
