how many pounds of tea worth $1.54 a pound should be mixed with tea worth $1.70 a pound to make 40 pounds of blended tea to sell at $1.60 a pound?
x (154) + (40 - x)(170) = 40 (160)
To find the answer, we will need to set up an equation based on the given information:
Let's say x represents the pounds of tea worth $1.54 per pound.
According to the problem, we need to mix this tea with tea worth $1.70 per pound to make a total of 40 pounds of blended tea. Therefore, the amount of tea worth $1.70 per pound is 40 - x pounds.
The total cost of the blended tea is the sum of the cost of the tea worth $1.54 per pound and the cost of the tea worth $1.70 per pound. This cost should equal the cost of selling the blended tea at $1.60 per pound.
The equation to represent the total cost can be written as:
1.54x + 1.70(40 - x) = 1.60(40)
Now we can solve this equation to find the value of x, which represents the pounds of tea worth $1.54 per pound.
1.54x + 68 - 1.70x = 64
Simplifying the equation:
0.16x = 4
Dividing both sides by 0.16:
x = 4 / 0.16
x = 25
Therefore, you should mix 25 pounds of tea worth $1.54 per pound with 40 - 25 = 15 pounds of tea worth $1.70 per pound to make 40 pounds of blended tea.