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This table shows numbers of sweets in some tubes, but a coffee stain has deleted one of the figures.

The mean number of sweets in a tube is known to be 33.5.
Work out the missing number in the table.
This homework is due in tomorrow so any help is greatly appreciated :)

This table shows numbers of sweets in some tubes, but a coffee stain has deleted one-example-1
User Eagletech
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1 Answer

4 votes
To get the answer, you need to think of it like a see-saw.
Both sides must equal the same relative to 33.5. For example, 32 is 1.5 away from 33.5 so you could say you have 1.5*4 (because theres 4 tubes with 32 sweets). If you were to do this for the whole table, it would look something like this:


(1.5*4)+(0.5*x)=(0.5*9)+(1.5*1)+(2.5*1)

This simplifies to:


6+0.5x=8.5

0.5x=2.5

x= (2.5)/(0.5)

x=5

This method can sometimes be inefficient depending on how many values but is probably the simplest way to solve this problem.

hope this helps :)

(sorry the other way is kinda hard to explain possibly ask your teacher tomorrow)
User Cardinal System
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