Samantha has a total of 300 coins, which consists of dimes and quarters. If the collection is worth $43.50, how many of each does she have?

Question

Samantha has a total of 300 coins, which consists of dimes and quarters. If the collection is worth $43.50, how many of each does she have?

Answer 1

d + q = 300, d = 300 - q

(.10)d + (.25)q = 43.50

Substitute:

(.10)(300 - q) + .25q = 43.50

30 - .10q + .25q = 43.50

.15q = 13.50

q = 90

d = 210