Answer:
The number of nickel's coin is 150
The number of dime's coin is 35
The number of quarter's coin is 75
Step-by-step explanation:
Let
x ----> the number of nickel's coin
y ---> the number of dime's coin
z ---> the number of quarter's coin
Remember that
we know that
----> equation A
----> equation B
----> equation C
substitute equation C in equation A and equation B
---> equation A1
-----> equation B1
Solve the system of equations A1 and B1 by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (75,35)
see the attached figure
so
z=75, y=35
<em>Find the value of x</em>
therefore
The number of nickel's coin is 150
The number of dime's coin is 35
The number of quarter's coin is 75