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5. A bar of metal contains 20% silver and another bar contains 12% silver. A jeweller wants toValue Based make a mixed metal using these two types of metal bars, How many grams ofQuestion cach metal bar should he use to make a 40 g bar containing 14 % silver? Whatvalues are represented by the jeweller? |
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Answer» Answer: 10 & 30 gm Step-by-step explanation: A bar of metal CONTAINS 20% silver and ANOTHER bar contains 12% silver. A JEWELLER wants to Value Based make a mixed metal using these two types of metal bars, How many grams of Question Each metal bar should he use to make a 40 g bar containing 14 % silver A Bar Contains Silver = 20% & non Silver = 100-20 = 80 % Another Bar Contains Silver = 12% & non-Silver = 100-20 = 88% Let Say X gm of A bar is taken and 40 - X gm of another bar is taken then total Silver = (20/100)X + (12/100)(40-X) = (1/100)( 20X + 480 - 12X) = (480 + 8X)/100 gm 14 % of 40 g = (14/100) * 40 = 5.6 g (480 + 8X)/100 = 5.6 => 480 + 8X = 560 => 8X = 80 => X = 10 gm A bar = 10 gm Another Bar = 30 gm |
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