The coffee merchant in mixed a coffee called mississippi mud with a coffee called pennsylvania pitch black to create a new coffee called texas t if you mix some of the mud which cost $1.50 per pound with 6 pounds of pitch black which cost two dollars per pound to get his batch of texas t which cost $1.80 per pound how many pounds of mud did he use

4 pounds of mud

Step-by-step explanation:

Let the mud be added as pounds.

Given:

Cost of 1 pound of mud = $ 1.50

∴ Cost of pounds of mud =

Cost of 1 pound of pitch black = $ 2

∴ Cost of 6 pounds of pitch black =

Amount of Texas T made = pounds.

Cost of 1 pound of Texas T = $ 1.80

∴ Cost of pounds of Texas T =

Now, cost of Texas T will be equal to the sum of cost of mud and pitch black. This gives,

Therefore, he used 4 pounds of mud coffee.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: