**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