Thirty-three kilograms of nickel was 35% pure mixed with a nickel alloy that was 21% pure. How many kilograms of each kind were used to produce an alloy that was 27% pure?

Guest Mar 17, 2021

#1**0 **

Let the number of kg of nickel alloy used=a

(33*0.35 + 0.21a)=(33 + a)*0.27, solve for a

11.55 + 0.21a =8.91 +0.27a

11.55 - 8.91 =0.27a - 0.21a

2.64 =0.06a

a =2.64 / 0.06

a =44 kg of nickel alloy were used.

33 kg of 0.35 pure nickel + 44 kg of 0.21 pure nickel alloy = 77 kg of 0.27 pure nickel alloy.

Guest Mar 17, 2021