SOLUTION: A chemist has two alloys, one of which is 20% gold and 15% lead and the other which is 30% gold and 50% lead. How many grams of each of the two alloys should be used to make an all

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A chemist has two alloys, one of which is 20% gold and 15% lead and the other which is 30% gold and 50% lead. How many grams of each of the two alloys should be used to make an all      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1169906: A chemist has two alloys, one of which is 20% gold and 15% lead and the other which is 30% gold and 50% lead. How many grams of each of the two alloys should be used to make an alloy that contains 118 g of gold and 110.5 g of lead?
Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
.

Mix  x grams of the first alloy with  y grams of the second alloy.


You have then these 2 equations in 2 unknowns


    0.2x  + 0.3y = 118    grams of gold    (1)

    0.15x + 0.5y = 110.5  grams of lead    (2)


Solve the equations by any way you want (you know, you like).


ANSWER.  470 grams of the 1-st alloy and 80 grams of the 2-nd alloy.

Solved.