ee ann wants to mix tea with 2 Cents per oz with 100oz of tea worth 5 cents per oz to make a mixture worth 3 cents per oz. how much 2 cent tea should be used?
x = number oz of cheaper tea
.02x = value of cheaper tea
100 = number oz of better tea
.05 * 100 = 5.00 = value of better tea
.03 = value of mixture
.03(x + 100) = value of mixture
.02x + 5.00 = .03(x + 100)
.02x + 5.00 = 3.00 + .03x
2.00 = .01x
x = 200
200 oz of .02 tea
from above
.03 = value of mixture
this should be
x + 100 = mixture total number of oz
To find out how much 2 cent tea should be used, we can set up a simple equation based on the given information.
Let's assume x represents the number of ounces of 2 cent tea.
The cost of the 2 cent tea is 2 cents per ounce, so the cost of x ounces of 2 cent tea is 2x cents.
The cost of the 100 ounces of 5 cent tea is 5 cents per ounce, so the cost of 100 ounces of 5 cent tea is 5 * 100 = 500 cents.
The cost of the final mixture is 3 cents per ounce, so the cost of (x + 100) ounces of the mixture is 3 * (x + 100) = 3x + 300 cents.
Since the total cost of the mixture should equal the sum of the costs of the individual teas, we can set up the equation:
2x + 500 = 3x + 300
Now, we can solve the equation for x:
2x - 3x = 300 - 500
-x = -200
x = 200
Therefore, 200 ounces of the 2 cent tea should be used to make the desired mixture.