If two mixtures cost $3/kg and $5/kg, what is the blend cost when mixed equally?

If two mixtures cost $3/kg and $5/kg, what is the blend cost when mixed equally?

• A. $3.75
• B. $4.50
• C. $4
• D. $4.25

Answer: (A)

To determine the blend cost when mixing two mixtures of different prices, equal quantities of each mixture are combined. In this case, one mixture costs $3 per kilogram, and the other costs $5 per kilogram. When mixed equally, you are essentially averaging the two costs. This can be calculated by finding the average of the two prices: 1. Add the costs of the two mixtures: \[ 3 + 5 = 8 \] 2. Since the two mixtures are of equal weight, you divide the total cost by 2 to find the average cost per kilogram: \[ \frac{8}{2} = 4 \] Thus, the blend cost when mixed in equal parts is $4 per kilogram. This provides a straightforward understanding of how to calculate the average cost of mixtures when they are combined in equal proportions.

To determine the blend cost when mixing two mixtures of different prices, equal quantities of each mixture are combined. In this case, one mixture costs $3 per kilogram, and the other costs $5 per kilogram.

When mixed equally, you are essentially averaging the two costs. This can be calculated by finding the average of the two prices:

1. Add the costs of the two mixtures:

[

3 + 5 = 8

]

2. Since the two mixtures are of equal weight, you divide the total cost by 2 to find the average cost per kilogram:

[

\frac{8}{2} = 4

]

Thus, the blend cost when mixed in equal parts is $4 per kilogram. This provides a straightforward understanding of how to calculate the average cost of mixtures when they are combined in equal proportions.