Question

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?

Answer 1

82 to coins and quadrilateral

Answer 2

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

$5n+25q=180$   ----- (2)

Putting n=4q in equation (2)

$5(4q)+25q=180$

$20q+25q=180$

$45q=180$

$q=4$

Hence, quarters are 4

As, n=4q

$n=4\times4=16$

Hence, nickels are 16