Answer:
The number of nickel coins is 10 and the number of quarter coins is 5
Step-by-step explanation:
The correct question is
Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there
Let
x ----> the number of nickel coins
y ----> the number of quarter coins
Remember that
[tex]1\ nickel=\$0.05[/tex]
[tex]1\ quarter=\$0.25[/tex]
we know that
Mary has 15 coins
so
[tex]x+y=15[/tex] -----> equation A
The total value of the coins is $1.75
so
[tex]0.05x+0.25y=1.75[/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 (10,5)
therefore
The number of nickel coins is 10 and the number of quarter coins is 5
