Question

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?

Answer 1

The number of quarter coins is 47 and the number of nickel coins is 50

Explanation:

Let

x----> the number of quarter coins

y ----> the number of nickel coins

Remember that

`1\ quarter=\$0.25`

`1\ nickel=\$0.05`

we know that

The jar containing 97 coins

so

`x+y=97` ----> equation A

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

so

`0.25x+0.05y=14.25` ----> 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