In a candy factory, nutty chocolate bars contain 22.0% by mass pecans. If 4.5 kg of pecans were used for candy last Tuesday, how many pounds of nutty chocolate bars were made?

Question

John Ruiz

Mathematics

28 February, 12:19

In a candy factory, nutty chocolate bars contain 22.0% by mass pecans. If 4.5 kg of pecans were used for candy last Tuesday, how many pounds of nutty chocolate bars were made?

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Blankenship · Answer 1

So we know that 22% of the mass off the chocolate bars is pecans, and that 4.5kg of pecans were used. To find the mass of nutty chocolate bars made with 4.5kg of pecans we can divide the 4.5 by 22 to find 1% of the weight of nutty chocolate bars produced, then multiply it by 100 to find the full weight in kg.

So 4.5/22 = 0.205 (3dp), then 0.205x100=20.5kg of nutty chocolate bars produced.

Now to convert the kgs of chocolate bars to lbs, we multiply by 2.205 (as there is approximately 2.205 lbs to 1 kg).

So 2.205x20.5kg=45.203 lbs (3dp) of nutty chocolate bars produced on Tuesday.