a coffee shop mixed brazilian coffee worth $5 per kg with Turkish coffee worth $8 per kg. the mixture is to sell for $7 per kg. how much of each type of coffee should be used to make 300 kg of the mixture?

If there are x kg of Brazilian coffee, then there are (300-x)kg of Turkish coffee.

Now, work with the cost for each type of nut. They must add up to the totals cost.

5x + 8(300-x) = 7(300)
5x + 2400 - 8x = 2100
3x = 300
x = 100

So, you need 100kg of Brazilian and 200kg of Turkish.

ote that $7 is 1/3 of the way from %5 to $8. So, the cheap coffee is 1/3 of the final mix.

how many kilograms of caramel candy that cost 750 baht per kg must be mixed with 24 kg of jelly beans that cost 350 baht per kg to make a mixture that costs 450 baht per kg?

To solve this type of problem, we can use the concept of a weighted average.

Let's assume that x represents the amount of the Brazilian coffee in kg and y represents the amount of Turkish coffee in kg.

We are given the following information:
1. The price of Brazilian coffee is $5 per kg.
2. The price of Turkish coffee is $8 per kg.
3. The desired price of the mixture is $7 per kg.
4. The total weight of the mixture is 300 kg.

Now, we can set up a system of equations to solve for x and y:

Equation 1: x + y = 300 (representing the total weight of the mixture)

Equation 2: (5x + 8y) / 300 = 7 (representing the average price of the mixture)

To solve this system of equations, we'll use the substitution method:

1. Solve Equation 1 for x in terms of y:
x = 300 - y

2. Substitute the value of x in Equation 2:
(5(300-y) + 8y) / 300 = 7

3. Simplify and solve for y:
(1500 - 5y + 8y) / 300 = 7
1500 + 3y = 2100
3y = 600
y = 200

Now that we have the value of y, we can substitute it back into Equation 1 to solve for x:

x + 200 = 300
x = 100

Therefore, the coffee shop should use 100 kg of Brazilian coffee and 200 kg of Turkish coffee to make 300 kg of the mixture.

To determine how much of each type of coffee should be used to make the mixture, we can set up a system of equations based on the given information.

Let's denote the amount of Brazilian coffee used as 'x' (in kg) and the amount of Turkish coffee used as 'y' (in kg).

According to the problem, the total weight of the mixture is 300 kg. Therefore, we have the equation:

x + y = 300 -- Equation 1

The cost of the Brazilian coffee is $5 per kg, and the cost of the Turkish coffee is $8 per kg. Since the mixture is to sell for $7 per kg, we can set up the second equation based on the cost of the mixture:

(5x + 8y) / 300 = 7 -- Equation 2

Now, we can solve this system of equations.

Rearrange Equation 1 to solve for 'x' in terms of 'y':

x = 300 - y

Substitute this expression for 'x' into Equation 2:

(5(300 - y) + 8y) / 300 = 7

Simplify and solve for 'y':

(1500 - 5y + 8y) / 300 = 7
(3y + 1500) / 300 = 7
3y + 1500 = 2100
3y = 600
y = 200

Substitute the value of 'y' back into Equation 1 to solve for 'x':

x + 200 = 300
x = 100

Therefore, to make 300 kg of the mixture, you should use 100 kg of Brazilian coffee and 200 kg of Turkish coffee.