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.