Question

A scale has a percent error of 6%. the actual mass of the book is 600 g. which statement describes what mass the scale could show? the scale could show either 300 g or 900 g. the scale could show either 564 g or 636 g. the scale could show either 594 g or 606 g. the scale could show either 550 g or 610 g.

Answer 1

A percentage is a way to describe a part of a whole.  The mass of the book that will be shown on the scale would be either 564 g or 636 g.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the percentage error that the scale has is 6%, therefore, firstly we will calculate the 6% of the mass of the book which is 600 grams.

$\rm 6\%\ of\ 600g\\\\ = 0.06 \times 600\\\\= 36$

Now, since the weight of the book is 600 grams, therefore, with a 6% error the scale will either show the mass as 6% more than the original or 6% less from the original.

• If the mass is shown as 6% less, then the weight of the book  $=600-36 = 564\rm\ g$
• If the mass is shown as 6% more, then the weight of the book  $=600+36 = 636\rm\ g$

Thus, the mass of the book that will be shown on the scale would be either 564 g or 636 g.

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