a collection of 28 coins consists of quarters and nickels and has a total value of $4. how many of each coin are there?

Question

I set up the equations right but didn't get an answer that equals $4

Answer 1

q = number of quarters

28 - q = number nickels

 

($0.05)(28 - q) + ($0.25)q = $4.00

 

0.05(28 - q) + 0.25q = 4

 

0.2q = 2.6

 

q = 13

28 - q = 28 - 13 = 15

 

There are 13 quarters and 15 nickels.