the coffee merchant mixed a coffee called mississippi mud with a coffe called pennsylvania pitch black to create a new coffee called texas tea. If he mixed some of the mud, which costs $1.50 per pound, with 6 pounds of the pitch black, which costs $2.00 per pound, to get his bath of texas tea, which costs $1.80 per pound, how many pounds of the mud did he use?

Question

the coffee merchant mixed a coffee called mississippi mud with a coffe called pennsylvania pitch black to create a new coffee called texas tea. If he mixed some of the mud, which costs $1.50 per pound, with 6 pounds of the pitch black, which costs $2.00 per pound, to get his bath of texas tea, which costs $1.80 per pound, how many pounds of the mud did he use?

Answer 1

Let x be the number of pounds of Mississippi mud used.

The total cost of the mud used is 1.50x and the total cost of the pitch black used is 2.00(6) = 12.00.

The total cost of the Texas tea is 1.80(x+6).

Since the total cost of the mud and pitch black used must equal the total cost of the Texas tea, we can set up the equation:

1.50x + 12.00 = 1.80(x+6)

Expanding and simplifying the equation, we get:

1.50x + 12.00 = 1.80x + 10.80
0.30x = 1.20
x = 4

Therefore, the coffee merchant used 4 pounds of Mississippi mud to create Texas tea.