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There are 5 cocoa pods in a bag.
The mean weight of the 5 cocoa pods is 398 grams.
A sixth cocoa pod is put into the bag.
The mean weight of the 6 cocoa pods is 401 grams.
Work out the weight of the sixth cocoa pod that is put into the bag


Sagot :

Answer:

416 g

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

[tex]\frac{sum}{5}[/tex] = 398 ( multiply both sides by 5 )

sum of 5 pods = 1990 g

let x be the weight of the sixth pod , then

[tex]\frac{1990+x}{6}[/tex] = 401 ( multiply both sides by 6 )

1990 + x = 2406 ( subtract 1990 from both sides )

x = 416

That is the weight of the sixth pod is 416 g