Question

Kevin and randy muise have a jar containing 60 coins all of which are either quarters or nickels the total value of the coins in he jar is $10.20 how many of each type of coin do they have

Answer 1

Let's assume

number of quarters is q

number of nickels is n

Kevin and randy muise have a jar containing 60 coins

so,

`q+n=60`

now, we can solve for n

`n=60-q`

we know that

1 quarter =0.25 dollar

1 nickel = 0.05 dollar

now, we can set equation for value

`0.05n+0.25q=10.20`

now, we can replace n

`0.05(60-q)+0.25q=10.20`

now, we can solve for q

`3-0.05q+0.25q=10.20`

`3+0.20q=10.20`

`q=36`

now, we can solve for n

`n=60-36`

`n=24`

so, number of quarters is 36

number of nickels is 24.................Answer