SOLUTION: Sixty grams of an alloy that contains less that 15% gold is melted together with 45 g of an alloy that is 20% gold. What do you know about the amount of gold in the resulting alloy

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Question 342207: Sixty grams of an alloy that contains less that 15% gold is melted together with 45 g of an alloy that is 20% gold. What do you know about the amount of gold in the resulting alloy?
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Call the amount of gold in the first alloy x
Sixty grams of an alloy that contains less that 15% gold
x <15% * 60
x <15/100 * 60 = 15/10 * 6 = 3/2 * 6 = 9
x<9grams
Call the amount of gold in the second alloy y
45 g of an alloy that is 20% gold
y < 20/100 * 40
y<8
the amount of gold in the resulting alloy is the sum of the 2 so it is
(x+y) <9 + 8
(x+y)<17g
If you want to put this in percentage terms, we have a total weight of 60 + 45 = 105g
%gold <17/105
%gold<16%