Week 14 CAPT Problem - 8th Grade


The Bookcase


A bookcase you are building uses 4 boards that are each 42 long for the shelves and 2 boards that are each 65 long for the sides.



The wood you need can be purchased in 3 difference lengths and can be cut to the length you need:

4 foot boards for $2.75
6 foot boards for $3.50
8 foot boards for $4.75

Complete the chart below to show how many of each length of board you would buy in order to construct the bookcase for the LEAST amount of money. Show how you cut the boards to get the 6 boards you need for the bookcase. Show your work and explain how you know you have spent the least amount of money.


Board Length Number of boards to be purchased Cost Bookcase board lengths to be cut
4 feet     
6 feet     
8 feet     


Total Cost: ___________

Show your work here: