Marie has 24 coins in half-dollars and dimes. Their total value is $3.60. How many coins of each type are there?

Question

I need help with this algebra word problem. Please show your work, so that I understand your thinking and how you solved it.

Answer 1

h = number of half dollars

d = number of dimes

 

d = 24 - h

 

($0.50)h + ($0.10)d = $3.60 ⇒

 

0.5h +0.1(24 - h) = 3.6 ⇒

 

h = 3

d = 24 - h = 24 - 3 = 21

 

Test the answer.