Algebra Word Problem..help!
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Algebra Word Problem..help!

[From: ] [author: ] [Date: 12-10-31] [Hit: ]
How many kilograms of each alloy should be used to make 15 kilograms of the 40% silver alloy?9 kg of 50% alloy and 6 kg of 25% alloy will give 15 kg of 40% alloy. ANSWER-.4*15 = x*.5 + y*........
A foundry has been commissioned to make souvenir coins. The coins are to be made from an alloy that is 40% silver. The foundry has on hand two alloys, one with 50% silver content and one with a 25% silver content. How many kilograms of each alloy should be used to make 15 kilograms of the 40% silver alloy?
50% alloy______kg
25% alloy______kg

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50M + 25(15 -- M) = 40*15 giving 25M = 15(40 -- 25) OR 25M = 225 OR M = 9
9 kg of 50% alloy and 6 kg of 25% alloy will give 15 kg of 40% alloy. ANSWER

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.4*15 = x*.5 + y*.25 Where x and y are the amount of KG for each alloy

.5x + .25y = 6kg of pure silver

By eye I can see that x= 8kg and y = 8kg to make 6kg of pure silver

Edit:

The above answer is wrong. His combinations of alloys adds up to 6.5Kg of silver however 40% of 15kg is 6kg.
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