Kevin and randy mouse have a jar containing 97 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $14.25. How many of each type of coin do they have?

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

we know that

The jar containing 97 coins

so

----> equation A

The total value of the coins in the jar is $14.25

so

----> 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

b) well because you get well