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?

1 Answer
Dec 14, 2016

#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]