For a precious stone , carat is used for specifying its ,mass .If 1 carat =3.168 grains and one gram=15.4 grains . find the total mass in kg of the ring that contains0.500 carat diamonds and7.00 gram gold

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Solution

$T h e w e i g h t o f t h e r i n g i s 0.500 c a r a t d i a m o n d a n d 7 g g o l d . 1 c a r a t = 3.168 g r a i n s 0.5 c a r a t = 1.584 g r a i n s 15.4 g r a i n s = 1 g m s o 1.584 g r a i n s = \frac{1}{15.4} \times 1.584 = 0.1029 g D i a m o n d w e i g h t = 0.1029 g G o l d w e i g h t = 7 g T o t a l w e i g h t = 7.1029 g = 0.007103 K g$

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For a precious stone , carat is used for specifying its ,mass .If 1 carat =3.168 grains and one gram=15.4 grains . find the total mass in kg of the ring that contains0.500 carat diamonds and7.00 gram gold

The weight of the ring is 0.500 carat diamond and 7 g gold.1 carat = 3.168 grains0.5 carat = 1.584 grains15.4 grains = 1 gmso 1.584 grains = 115.4 × 1.584 = 0.1029 gDiamond weight = 0.1029 gGold weight = 7 gTotal weight = 7.1029 g = 0.007103 Kg