Question

Maricella has a bag containing some nickels and quarters. The 25 coins the bag total $3.45. How many of many of the each coin are in the bag?

Answer 1

`11` quarter coins and `14` nickel coins were in the bag.

Explanation:

Value of 1 nickel coin is `5` cents
Value of 1 quarter coin is `25` cents
Value of `$1` is `100` cents
Value of `$3.45` is `345` cents

Let the number of nikels be `n` and the number of quarters be `q`
So `n+q=25`(1)
`5n+25q=345`(2) multiplying eqn. (1) by 5 and then subtracting from eqn.(2) we get `5n+25q=345`(2)
`5n+5q=125`(1)
`20q =220 or q=11 ; n= 25-11=14`

`11`quarter coins and `14` nickel coins were in the bag.[Ans]