Gabriel is making a mixture of compost and soil to use for a special plant. He wants his final mix to be 2 parts compost to 10 parts potting soil. He wants to end up with 12 kilograms of mix.
looks like 2kg and 10kg, right?
To find out how much compost and potting soil Gabriel needs for the mixture, we need to determine the ratios and proportions.
The total number of parts in the mixture is 2 + 10 = 12.
Now, let's calculate the required quantities.
Let's assume the amount of compost needed is C kilograms.
According to the given ratio, the proportion of compost in the mixture is 2/12 of the total mixture:
(C/12) = 2/12
We can cross-multiply and simplify the equation:
2C = 12
C = 12 / 2
C = 6 kilograms
Thus, Gabriel needs 6 kilograms of compost for the mixture.
Similarly, the proportion of potting soil in the mixture is 10/12 of the total mixture:
(P/12) = 10/12
Simplifying the equation:
10P = 12
P = 12 / 10
P = 1.2 kilograms
Hence, Gabriel needs 1.2 kilograms of potting soil.
To verify that the total mixture weighs 12 kilograms:
6 (weight of compost) + 1.2 (weight of potting soil) = 7.2 kilograms.
It appears that there is a discrepancy, and the current calculated weights do not sum up to the desired 12 kilograms of mix. Please recheck the information provided or provide additional details if any.