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A construction company buys lumber in 8-foot and 14-foot board lengths. Each 8-foot board is cut into one 5-foot and one 3-foot length, and each 14-foot board is cut into one 5-foot and three 3-foot lengths. Suppose the company requires at least seventy-five 5-foot lengths and one hundred and twenty-five 3-foot lengths to complete a project. Find the number of 8-foot boards and 14-foot boards that will be both nonzero and sufficient for the project.

A construction company buys lumber in 8-foot and 14-foot board lengths. Each 8-foot board is cut into one 5-foot and one 3-foot length, and each 14-foot board is cut into one 5-foot and three 3-foot lengths. Suppose the company requires at least seventy-five 5-foot lengths and one hundred and twenty-five 3-foot lengths to complete a project. Find the number of 8-foot boards and 14-foot boards that will be both nonzero and sufficient for the project.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.10: Problems Without Solutions
Problem 14P
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A construction company buys lumber in 8-foot and 14-foot board lengths. Each 8-foot board is cut into one 5-foot and one 3-foot length, and each 14-foot board is cut into one 5-foot and three 3-foot lengths. Suppose the company requires at least seventy-five 5-foot lengths and one hundred and twenty-five 3-foot lengths to complete a project. Find the number of 8-foot boards and 14-foot boards that will be both nonzero and sufficient for the project.
Transcribed Image Text:A construction company buys lumber in 8-foot and 14-foot board lengths. Each 8-foot board is cut into one 5-foot and one 3-foot length, and each 14-foot board is cut into one 5-foot and three 3-foot lengths. Suppose the company requires at least seventy-five 5-foot lengths and one hundred and twenty-five 3-foot lengths to complete a project. Find the number of 8-foot boards and 14-foot boards that will be both nonzero and sufficient for the project.
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