gold is 19 times as heavy as water, and copper is 9 times as heavy as water. in what ratio should cu and au should be mixed so that the alloy is 15 times heavy as water.

Dear Shivam

let gold quantity be a and copper be b

then S= (aS_g + bS_c)/(a+b)

15=19a+9b/a+b

divide numerator and denominator by b and take a/b=x

15=19x+9/x+1

19x+9=15x+15

4x=6

x=3/2

gold/copper = 3/2

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IIT Delhi

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