Philipp want to know how much his book weight correct to half a gram.However his scale only shows correct to 10 g and therefore He weight severek identical books all together. What is the minimum Number of identical books He has to put on the scale in order to reach his aim.
Answers
Answer:
20
Step-by-step explanation:
The book needs to be weighed correct to 0.5g, that is, he wants the least weight value to be 0.5g from a scale that shows value as multiples of 10.
How will you change 0.5 into 10?
Easy, multiply by 20.
Check:
Assume one book weighs 258.5g and he doesn't know this value.
The scale will show this as 260g as it can only measure in multiples of 10, but he needs the value in 0.5's (0.5, 1.5, 2.5, ....258.5, ...)
But, if 20 such books are placed on the scale, the total weight expected = 20×258.5 = 5170g which is a multiple of 10.
The scale also hence will show the same value and he just have to divide that by 20 to obtain the weight of one book.
Thus, he has to put atleast 20 books to meet his aim.
Hope that helps
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