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

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rejkjavik rejkjavik · Answer 1 · 2018-10-09T05:36:16+02:00

Let's assume

number of quarters is q

number of nickels is n

Kevin and randy muise have a jar containing 60 coins

so,

[tex]q+n=60[/tex]

now, we can solve for n

[tex]n=60-q[/tex]

we know that

1 quarter =0.25 dollar

1 nickel = 0.05 dollar

now, we can set equation for value

[tex]0.05n+0.25q=10.20[/tex]

now, we can replace n

[tex]0.05(60-q)+0.25q=10.20[/tex]

now, we can solve for q

[tex]3-0.05q+0.25q=10.20[/tex]

[tex]3+0.20q=10.20[/tex]

[tex]q=36[/tex]

now, we can solve for n

[tex]n=60-36[/tex]

[tex]n=24[/tex]

so, number of quarters is 36

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