SOLUTION: A furniture maker is making a chair and needs 12 feet of wood. He has chosen to make the chair out of maple, which costs $25 per foot, and pine, which costs $28 per foot. If the fu

Question 626090: A furniture maker is making a chair and needs 12 feet of wood. He has chosen to make the chair out of maple, which costs $25 per foot, and pine, which costs $28 per foot. If the furniture maker wants to spend a total of $25.75 per foot, how many feet of each type of wood will he need?

Answer by babs1010(6) (Show Source): You can put this solution on YOUR website!
A furniture maker is making a chair and needs 12 feet of wood. He has chosen to make the chair out of maple, which costs $25 per foot, and pine, which costs $28 per foot. If the furniture maker wants to spend a total of $25.75 per foot, how many feet of each type of wood will he need? |
--------------------------
Let X = Number of FEET at $25
Let Y = Number of FEET at $25.75

X + Y = 12
25X + 25.75Y = 28

X = 12 - Y

25(12 - Y) + 25.75Y = 28
300 - 25Y + 25.75Y = 28

0.75Y = -272

Y = -362.667

X = 374.667

RELATED QUESTIONS
A furniture maker has a shop that can employ 12 workers for 40 hours per week at its... (answered by ankor@dixie-net.com)

A division of the Winston Furniture Company manufactures dining tables and chairs. Each... (answered by Theo)

Directions: Solve each problem. A furniture maker has a shop that can employ 12... (answered by ankor@dixie-net.com)

The cost of making a chair... (answered by richwmiller)

The XYZ Furniture Company produces chairs and tables from two resources, labour and wood. (answered by ikleyn)

A small furniture shop makes tables and chairs which must be processed through assembly... (answered by ikleyn)

I am lost on this and am hoping someone can help me out. This is due today :-/ This is... (answered by psbhowmick)

A furniture store has a chair originally priced at $78 on sale for $46. What is the... (answered by josmiceli)

Solve each problem. Ozark Furniture Company can obtain at most 3000 board feet of... (answered by ankor@dixie-net.com)