Question

A collection of nickels and quarters is worth 2.85 . There are 3 more nickels than quarters how many nickels and quarters are there

Answer 1

A nickel is equal to 5 cents or 0.05 dollars.

A quarter is equal to 25 cents or 0.25 dollars.

Let number of nickels be = n

Let number of quarters be = q

$0.05n+0.25q=2.85$    ...........(1)

As it is given, there are 3 more nickels than quarters so equation becomes,

$n=q+3$   ................(2)

Plug in the value of 'n' from (2) in (1)

$0.05(q+3)+0.25q=2.85$

= $0.05q+0.15+0.25q=2.85$

$0.30q=2.70$

$q=9$

As $n=q+3$ we get, $n=9+3=12$

Hence, there are 12 nickels and 9 quarters.