A person has a bag containing quarters and dimes. There are a total of 65 coins in the bag, and the total value of the coins is $9.50. Determine how many quarters and dimes are in the bag.

Answer 1

Q+D = 65, multiply both sides by 25

25Q + 25D = 1625

25Q + 10D = 950 subtract to get

15D = 675

D = 675/15 = 135/3 = 45 dimes

Q = 65-45 = 20 quarters

25(20) + 10(45) = 500+450 = 950