Question

17. A container is partially filled with 12 liters of whole milk containing 4% butterfat. How

much 1% milk must be added to get a mixture that is 2% butterfat? Construct a table,
then solve.

Answer 1

To get a mixture that is 2% butterfat, 24 liters of 1% milk must be added to the container.

Step-by-step explanation:

To solve this problem, we can create a table to organize the information. Let's assume that x liters of 1% milk is added to the container.

ComponentAmountButterfat %Whole milk12 liters4%1% milkx liters1%Total mixture12 + x liters2%

Next, we can create an equation to represent the relationship between the butterfat in the whole milk and the butterfat in the final mixture:

(12 liters x 4%) + (x liters x 1%) = (12 + x liters x 2%)

Now, we can solve for x. First, convert the percentages to decimal form:

0.04(12) + 0.01x = 0.02(12 + x)

0.48 + 0.01x = 0.24 + 0.02x

0.01x - 0.02x = 0.24 - 0.48

-0.01x = -0.24

x = 24

Therefore, 24 liters of 1% milk must be added to the container to obtain a mixture that is 2% butterfat.

Answer 2

Step-by-step explanation:

a table ? why? what kind ?

it is relatively simple to solve :

x liters of 1% had to be mixed with 12 liters of 4% to get 12+x liters of 2%

x×0.01 + 12×0.04 = (12+x)×0.02 = 12×0.02 + x×0.02

12×0.02 = x×0.01

x = 12×0.02/0.01 = 12×2 = 24 liters

so, 24 liters of 1% had to be added to the 12 liters of 4% to get a 2% mixture (12 + 24 = 36 liters).