SOLUTION: Pleased help me sir.... How many grams of an alloy containing 35% nickel must be melted with an alloy containing 65% nickel in order to obtain 20 grams of an alloy containing 41%

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Pleased help me sir.... How many grams of an alloy containing 35% nickel must be melted with an alloy containing 65% nickel in order to obtain 20 grams of an alloy containing 41%      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 11889: Pleased help me sir....
How many grams of an alloy containing 35% nickel must be melted with an alloy containing 65% nickel in order to obtain 20 grams of an alloy containing 41% nickel?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
After changing the percentages to decimals, you can set up your equation as follows: x = number of grams of the 35% Ni alloy. (35% = 0.35, 65% = 0.65, 41% = 0.41)
x%280.35%29+%2B+%2820+-+x%29%280.65%29+=+%2820%29%280.41%29 Simplify and solve for x.
0.35x+%2B+13+-+0.65x+=+8.2
-0.3x+%2B+13+=+8.2 Subtract 13 from both sides.
-0.3x+=+-4.8 Divide both sides by -0.3
x+=+16
16 grams of 35% Ni alloy are required.