Question

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?

What would be the system of equations I would get from this, so I can solve? I've tried to look at it but can't really get one exactly.

Answer 1

All I need is help finding the system of equations on here, not the answer so yeah.

Answer 2

Let's call x feet of maple and y feet of pine, if you need 12 feet of wood x+y=12
On the other hand maples costs 25 $/foot and pine 28 $/foot so if we have 25*x+28*y=25.75 we hace the quantities that makes the final price of 25.75

Answer 3

have*

Answer 4

25x+28y=25.75
x+y=12

Answer 5

The last equation should not be \[25x+28y=25.75\]It should rather be \[25x+28y=12(25.75)\]

Answer 6

True kinggeorge, cause the price is per foot

Answer 7

Sorry

Answer 8

Oh okay so then,
25x+28y=309
x+y=12
and no prob. knock, everyone makes mistakes once in a while. I've made mistakes on OS also so yeah.

Answer 9

Ty @KingGeorge & @knock

Answer 10

^^ indeed, yw

Answer 11

you're welcome.