Question

A cereal company fills boxes with 16 ounces of cereal. The acceptable percent error in filling a box is 2.5%. find the least and greatest acceptable weight.

Answer 1

If the acceptable percent error is 2.5%, then the amount it can be over or under 16 oz is 0.4oz.

16 + 0.4
16 - 0.4

16.4 is the greatest, 15.6 is the least.

Answer 2

Least acceptable weight= 15.6 ounces

and Greatest acceptable weight=16.4 ounces.

Explanation:

A cereal company fills boxes with 16 ounces of cereal.

The acceptable percent error in filling a box is 2.5%.

i.e. the error in decimal is:

`(2.5)/(100)* 16=(25)/(1000)* 16=0.4`

Hence,

the least acceptable weight is obtained by subtracting the actual amount with the error.

16-0.4=15.6 ounces.

and the greatest acceptable weight is obtained by adding the error to the actual weight.

16+0.4=16.4 ounces

Hence,

Least acceptable weight= 15.6 ounces

and Greatest acceptable weight=16.4 ounces.