A woodworker constructed a chest from two types of wood: cherry and maple. The cherry costs $5.80 per
foot, while the maple costs $4.20 per foot. The two
types of wood cost $31.60 total and the worker used a
total of 6 feet of wood.
How much cherry wood did she use? How much
maple wood?

cherry= 4ft

maple = 2ft

Step-by-step explanation:

5.80c + 4.20m = 31.60

when we set this equation to the side of page we see

31.60 / 6 = 5.2

if he used 6ft then we can see that 5.2 is the equation

5.8cn  + 4.2mn = 5.2

4(5.8c) + 2(4.2m) = 31.60

proves the 5.2 was a higher distribution than the 4.2  

= 4 cherry and 2 maple

if you was gonna solve for a, a is a   < -12