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Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 grams in the other pan, the pans balance each othe…
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Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 grams in the other pan, the pans balance each othe…
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Mar 14, 2018
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Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 grams in the other pan, the pans balance each other. Which equation can be used to find the weight of each steel ball?
Mathematics
high-school
Daniel Da Cunha
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Daniel Da Cunha
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Okay so first to solve this lets set up our equation...
Devon has 14 balls of equal weight
14
8 of them go in one pan
14 - 8 = 6
6 goes in another pan along with a weight of 20 grams
So if we assume each ball is
10 grams
then the 6 plus 20 grams would equal 8 balls.
This would balance it out.
8 balls of 10g - 6 balls of 10g and a 20g weight
So each ball would weigh 10 grams
Hope this helped. Have a great night!
Brad Brighton
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Mar 15, 2018
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Brad Brighton
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14-8=6, so 8 balls balance with 6 balls and 20 grams. From this you know that 2 balls=20 grams, simply divide this by 2 to get the weight of one ball which will weigh 10 grams.
Siavash Alp
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Mar 21, 2018
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Siavash Alp
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