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

Question

4 years ago

5

?

2 answers:

Oduvanchick [21] · Answer 1 · 2022-01-17T22:05:16+03:00

6 0

82 to coins and quadrilateral

crimeas [40] · Answer 2 · 2022-01-17T23:17:04+03:00

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

$5n+25q=180$ ----- (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