Alloy Bracelet
silversmiths shop?
in a silversmith's shop, are alloys containing 40% silver and others that are 50% silver. custom order for a bracelet requires 150g of 44% silver. how much of each alloy should be melted together to make the bracelet?
OK – let's try this: 0.4 x Y = 0.5 + 0.44 (150) or 66 xy = 150 + two equations, two unknowns. Multiply the equation above 0.8 x 2 + y = 132 x + y = 150, now subtract low from -. 2x = -18 x = 90 Now substitute back in the second equation y = 90 + 150. Y = 60 Then 90 grams of 40% silver and 60 grams of silver to 50% should be used to obtain 150g or 44% silver. Let's check to be sure: 90 (0.4) + 60 (0,5) = 150 (0.44)? 36 + 30 = 66? 66 = 66 YES! Hope helps.
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