A store mixes Brazilian coffee worth $10 per kilogram and Turkish coffee worth $12 per kilogram. The mixture is to sell for $11 per kilogram. Find out how much of each should be used to make a 216 kilogram mixture.

216 / 2 = ?

To find out how much of each type of coffee should be used to make the 216 kilogram mixture, we can use a system of equations.

Let's represent the unknown quantities as follows:
Let x be the amount of Brazilian coffee in kilograms.
Let y be the amount of Turkish coffee in kilograms.

We can set up two equations based on the given information:

Equation 1: The total weight of the mixture is 216 kilograms.
x + y = 216

Equation 2: The cost of the mixture is $11 per kilogram.
(10x + 12y) / 216 = 11

To solve this system of equations, we can use the substitution or elimination method.

Let's rearrange Equation 1 to solve for x:
x = 216 - y

Now we substitute this expression for x in Equation 2:
(10(216 - y) + 12y) / 216 = 11

Expanding and simplifying this equation:
2160 - 10y + 12y = 2376
2y = 216
y = 108

Now that we have the value for y, we can substitute it back into Equation 1 to find x:
x + 108 = 216
x = 108

Therefore, to make a 216 kilogram mixture, we should use 108 kilograms of Brazilian coffee and 108 kilograms of Turkish coffee.

Ms. Sue is correct. Since $11 is halfway between $10 and $12, there is an equal amount of each coffee.

algebraically, consider the value of each component, and the total. If there are x kg of Brazilian coffee, then there are 216-x kg of Turkish.

10x + 12(216-x) = 11*216
x = 108

This method will also work if the price ratio were different.