Sam has 27 coins that are all dimes and quarters. The value of the coins is $4.35. How many dimes and quarters does Sam have?

Question

Sam has 27 coins that are all dimes and quarters. The value of the coins is $4.35. How many dimes and quarters does Sam have?

Answer 1

number of dimes = d

number of quarters = 27 - d

 

($0.10)d + ($0.25)(27 - d) = $4.35

 

(0.1 - 0.25)d = 4.35 - 0.25(27)

 

-0.15d = -2.4

 

d = 16

 

27 - d = 27 - 16 = 11

 

There are 16 dimes and 11 quarters.