Question

A factory produces 5-packs of pencils. To be within the weight specifications, a pack of 5 pencils should weigh between 60 grams and 95 grams. The cardboard for each package has a mass of 15 grams. Write a compound inequality to represent of a single pencil in a pack. Can each pencil have a mass of 10.5 grams?

Answer 1

Given:
1 pack = 5 pencils and cardboard.
1 pack must be between 60 grams and 95 grams

60g < x < 95g ; where x represents 1 pack.

Card board: 15 grams.

95g - 15g = 80g maximum total weight of 5 pencils
80g / 5 = 16g maximum weight of a single pencil

60g - 15g = 45g minimum total weight of 5 pencils
45g / 5 =9g minimum weight of a single pencil

9 < x < 16 ; where x represents a single pencil in the pack.