If Chris has 4 times as many nickels as quarters and they have a combined value of 180 cents, how many of each coin does he have?

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tomsenac2 tomsenac2 · Answer 1 · 2018-11-03T14:51:45+01:00

82 to coins and quadrilateral

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chisnau chisnau · Answer 2 · 2018-11-04T10:39:08+01:00

1 nickel = 5 cents

1 quarter = 25 cents

Let the number of nickels be = n

Let the number of quarters be = q

As mentioned, Chris has 4 times as many nickels as quarters

so, n=4q ----- (1)

The coins have a combined value of 180 cents, so

[tex]5n+25q=180[/tex] ----- (2)

Putting n=4q in equation (2)

[tex]5(4q)+25q=180[/tex]

[tex]20q+25q=180[/tex]

[tex]45q=180[/tex]

[tex]q=4[/tex]

Hence, quarters are 4

As, n=4q

[tex]n=4\times4=16[/tex]

Hence, nickels are 16