SOLUTION: A chemist has two alloys, one of which is 20% gold and 10% 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

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Question 747261: A chemist has two alloys, one of which is 20% gold and 10% 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 103 g of gold and 76 g of lead?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x grams of the one alloy
y grams of the other alloy

Account for Gold.
0.20x+0.30y=103

Account for Lead.
0.10x+0.50y=76

System can be:
2x%2B3y=1030
x%2B5y=760
Entire two equations were multiplied by 10 to get whole number coefficients. Solve the system for x and y.