Question 153180
Joe plans to make ropes and matching hats from a bolt of material.
The fabric he plans to use is 250 yards long. 
He will need 2 yards of material for each rope and 1/6 of a yard for each hat He also plans to put decorations on the rope and will need 1 yard of cord for each rope . 
The hats will not have any fingers . 
He has 100 yards of cord to use for the decorations.
----------------------- 
1. Write two equations to use to solve for how many hats and ropes he can make from the supplies on hand. Let r equal the number of ropes and made and h equal the number of hats made.
Fabric inequality: 2r + (1/6)h <= 250
Cord inequality: r <= 100 
-------------------------
 

2. Try to solve this system of equations If you get a solution state what it is. If not describe what the result mean.
Solve the EQUALITY;
2*100 + (1/6)h = 250
(1/6)h = 50
h = 300
So, when # of ropes is 100, # of hats is 300.
-----------
Cheers,
Stan H.