abonhomme2007
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A single gram of a certain metallic substance has 0.51 gram copper and 0.26 gram of zinc. The remaining portion of the substance is nickel. Ben estimated that 0.2 gram of nickel is in 1 gram of the substance. He used this to estimate the amount of nickel in 35 grams of the substance. Find the result of Ben's estimation strategy. them, find the exact amount of nickel in 35 grams of substance.

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Find Ben's Estimate & The Exact amount.

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bhuvna789456
  • The result of Ben's estimation strategy is 7 grams.
  • The exact amount of nickel is 8.05 grams.

Step-by-step explanation:

First off all, if we have 1 gram of a substance that has 0.51 gram of copper and 0.26 gram of zinc, the remainder will be: 

1 gram - ( 0.51 + 0.26 ) = 1 gram - 0.77 = 0.23 grams.

Hence we have 0.23 gram of nickel.

But the estimation of Ben implies that 1 grams of the substance has 0.2 gram of nickel.

Multiplying the grams of the substance by the gram of nickel to obtain the grams of nickel in 35 grams of the substances.

                               35 [tex]\times[/tex] 0.2 = 7 grams.

Hence 35 grams of the substance has 7 grams of nickel.

But we know that in 1 gram of the substance are not 0.2 grams of nickel but 0.23 as calculated. So by multiplying the grams of the substance by 0.23 and thereby finding the actual grams of nickel in it:

                               35 [tex]\times[/tex] 0.23 = 8.05 grams.

Hence 35 grams of the substance has 8.05 grams of nickel. 

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