to make a mixture of 80 pounds of coffee worth $272 a grocer mixes coffee wortg $3.25 a pound with cofee worth $3.85 a pound.How many pounds of the cheaper coffee should grocer use........60lb
3.25x + 3.85(80-x) = 272.
3.25x - 3.85x + 308 = 272, X = ?.
To find how many pounds of the cheaper coffee the grocer should use, we can set up a system of equations. Let's represent the pounds of cheaper coffee as 'x'.
Since we are making a mixture of 80 pounds, the weight of the more expensive coffee would be (80 - x) pounds.
The total cost of the mixture can be calculated by multiplying the pounds of each type of coffee by their respective prices and summing them up:
3.25x + 3.85(80 - x) = 272
Now, let's solve this equation to find the value of 'x', which represents the pounds of the cheaper coffee.
3.25x + 308 - 3.85x = 272
Let's combine like terms:
-0.60x + 308 = 272
Next, subtract 308 from both sides of the equation:
-0.60x = 272 - 308
-0.60x = -36
Finally, divide both sides of the equation by -0.60 to solve for 'x':
x = -36 / -0.60
Simplifying:
x ≈ 60
So, the grocer should use approximately 60 pounds of the cheaper coffee.