How much candy at $1.16 a pound should be mixed with candy worth 86¢ a pound in order to obtain a mixture of 60 pounds of candy worth a dollar a pound?

Question

? pounds at $1.16 and ? pounds at 86 cent

Answer 1

Let x = # pounds at $1.16/lb

then 60lb - x = amount at $0.86/lb

 

Our equation becomes 1.16x + (60 - x)0.86 = 60 x $1

 

expanding, 1.16x + 51.6 - 0.86x = 60

 

combining, 0.3x = 8.4

 

solving, x = 28lb; then 60 - 28 = 32lb

 

Proof: 28lb x $1.16 + 32lb x $0.86 = 60lb x $1.00

32.48lb + 27.52lb = 60lb