Question

5. 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 cach metal bar should he use to make a 40 g bar containing 14 % silver? What
values are represented by the jeweller?​

Answer 1

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