Answered

A karat equals 1/24 part of gold in an alloy [ eg 9 karat gold is 9/24 gold]. How many grams of 9 karat gold must be mixed with

18 karat gold to make 200 grams of 14 karat gold alloy?

Verified Answer :

olemakpadu

This is a mixture problem.

mass1 karat1 + mass2karat = total mass total carat

Total mass = 200g.
Total karat = 14.

Let the 9 karat gold to be mixed be x. The 18 karat would weight (200 - x). Since the total = 200g.

9x  + 18(200 -x) = 14200

9x + 18200 - 18x = 14200

18200 + 9x - 18x = 14*200

3600 - 9x = 2800

3600 - 2800 = 9x

800 = 9x

9x = 800

x = 800/9

x ≈ 88.89

Therefore 88.89 grams of 9 karat gold must be mixed.

i solved this question the answer i got is x=4 can you please check if it is correct

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