5. A necklace studded with precious jewels weighs 26.325 g. It has two diamonds each
weighing 6.9 g, six rubies each weighing 1.53 g and five small grains of topaz. Find
the weight of one grain of topaz.
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Answer:
0.669g
To find:
Weight of each topaz = x (considering)
Step-by-step explanation:
Total weight of necklace = 26.325g
Weight of stones :-
Weight of diamonds = 2 diamonds × 6.9g
= 13.8g
Weight of rubies = 6 rubies × 1.53
= 9.18g
Weight of topaz = 5 topaz × x g
= 5x g
Weight of each topaz :-
13.8g + 9.18g + 5x g = 26.325g
22.98g + 5x g = 26.325g
5x g = 26.325 - 22.98g
5x g = 3.345g
x = 3.345g/5g
x = 0.669g
Hence, the weight of each topaz is 0.669g.
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